Step 1 :Let's denote the number of messages Martina, Ryan, and Hans sent as M, R, and H respectively.
Step 2 :We know that M + R + H = 131, H = 4R, and R = M + 7.
Step 3 :We can substitute the second and third equations into the first one to solve for the values of M, R, and H.
Step 4 :By solving the equations, we find that M = 16, R = 23, and H = 92.
Step 5 :Final Answer: The number of text messages Martina sent is \(\boxed{16}\). The number of text messages Ryan sent is \(\boxed{23}\). The number of text messages Hans sent is \(\boxed{92}\).