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Finding the Fourth Proportional to 71,702.91, 98,952.57 and 39,439.98

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Solution

The fourth proportional to 71,702.91, 98,952.57 and 39,439.98 is: 54,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,702.91 : 98,952.57 = 39,439.98 : x
  2. Step 2: Convert to fraction form
    71,702.91/98,952.57 = 39,439.98/x
  3. Step 3: Cross multiply
    71,702.91x = 98,952.57 × 39,439.98
  4. Step 4: Simplify right side
    71,702.91x = 3,902,687,381.75
  5. Step 5: Solve for x
    x = 3,902,687,381.75/71,702.91
  6. Step 6: Final answer
    x = 54,428.58

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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.