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Finding the Fourth Proportional to 71,728.98, 98,989.65 and 39,898.50

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Solution

The fourth proportional to 71,728.98, 98,989.65 and 39,898.50 is: 55,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728.98 : 98,989.65 = 39,898.50 : x
  2. Step 2: Convert to fraction form
    71,728.98/98,989.65 = 39,898.50/x
  3. Step 3: Cross multiply
    71,728.98x = 98,989.65 × 39,898.50
  4. Step 4: Simplify right side
    71,728.98x = 3,949,538,550.53
  5. Step 5: Solve for x
    x = 3,949,538,550.53/71,728.98
  6. Step 6: Final answer
    x = 55,061.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.