Finding the Fourth Proportional to 127.42, 175.98 and 116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127.42 : 175.98 = 116.50 : x
2. Step 2: Convert to fraction form
   127.42/175.98 = 116.50/x
3. Step 3: Cross multiply
   127.42x = 175.98 × 116.50
4. Step 4: Simplify right side
   127.42x = 20,501.67
5. Step 5: Solve for x
   x = 20,501.67/127.42
6. Step 6: Final answer
   x = 160.90