Finding the Fourth Proportional to 142.50, 196.56 and 113.46

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 196.56 = 113.46 : x
2. Step 2: Convert to fraction form
   142.50/196.56 = 113.46/x
3. Step 3: Cross multiply
   142.50x = 196.56 × 113.46
4. Step 4: Simplify right side
   142.50x = 22,301.70
5. Step 5: Solve for x
   x = 22,301.70/142.50
6. Step 6: Final answer
   x = 156.50