Finding the Fourth Proportional to 142.50, 213.72 and 61.30

Step by Step Solution

1. Step 1: Write the proportion equation
   142.50 : 213.72 = 61.30 : x
2. Step 2: Convert to fraction form
   142.50/213.72 = 61.30/x
3. Step 3: Cross multiply
   142.50x = 213.72 × 61.30
4. Step 4: Simplify right side
   142.50x = 13,101.04
5. Step 5: Solve for x
   x = 13,101.04/142.50
6. Step 6: Final answer
   x = 91.94