Finding the Fourth Proportional to 50,098.50, 69,138.12 and 27,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,098.50 : 69,138.12 = 27,742.50 : x
2. Step 2: Convert to fraction form
   50,098.50/69,138.12 = 27,742.50/x
3. Step 3: Cross multiply
   50,098.50x = 69,138.12 × 27,742.50
4. Step 4: Simplify right side
   50,098.50x = 1,918,064,294.10
5. Step 5: Solve for x
   x = 1,918,064,294.10/50,098.50
6. Step 6: Final answer
   x = 38,285.86