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Finding the Fourth Proportional to 287,761.90, 431,605.05 and 88,102.30

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Solution

The fourth proportional to 287,761.90, 431,605.05 and 88,102.30 is: 132,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,761.90 : 431,605.05 = 88,102.30 : x
  2. Step 2: Convert to fraction form
    287,761.90/431,605.05 = 88,102.30/x
  3. Step 3: Cross multiply
    287,761.90x = 431,605.05 × 88,102.30
  4. Step 4: Simplify right side
    287,761.90x = 38,025,397,596.62
  5. Step 5: Solve for x
    x = 38,025,397,596.62/287,761.90
  6. Step 6: Final answer
    x = 132,141.88

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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.