Final answer:
The reference information provided does not clearly address the cubic equation x³ + 15 x² + 27 x = 100000. The Chinese method for solving this is not explicitly detailed, so alternative methods like graphical approximation or the Newton-Raphson numerical method could be advised for solving it.
Step-by-step explanation:
The question involves solving a higher degree polynomial equation using the Chinese method. Unfortunately, the given reference information doesn't seem to directly address the given equation x³ + 15 x² + 27 x = 100000. An appropriate technique would be to first try to simplify or reduce the equation and then apply methods such as the quadratic formula or factoring if it simplifies to a quadratic equation, or use numerical methods if the equation remains cubic. However, the information about plus-four, cubing of exponentials, and equilibrium equations do not provide a clear method for solving the given cubic equation.
We would need to find more relevant information on the Chinese method of solving cubic equations to provide an accurate and comprehensive answer. Without this, we can still use graphical methods to approximate solutions or employ numerical methods like Newton-Raphson to find the roots.