Answer:
a= 18; b= 48; c= 88. Please note that even half these value work (9, 24, 44) or any multiple of these (9k, 24k, 44k, with k a positive integer)
Explanation:
Let's go easy, and pick b to be 6x8, to make things easy for us. Maybe even 6x4 could work, 12x8 will totally work, but this is the simplest choice.
Now on the first proportion
From the second proportion