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Finding the Fourth Proportional to 81,702.60, 122,553.90 and 52,032.30

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Solution

The fourth proportional to 81,702.60, 122,553.90 and 52,032.30 is: 78,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.60 : 122,553.90 = 52,032.30 : x
  2. Step 2: Convert to fraction form
    81,702.60/122,553.90 = 52,032.30/x
  3. Step 3: Cross multiply
    81,702.60x = 122,553.90 × 52,032.30
  4. Step 4: Simplify right side
    81,702.60x = 6,376,761,290.97
  5. Step 5: Solve for x
    x = 6,376,761,290.97/81,702.60
  6. Step 6: Final answer
    x = 78,048.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.