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Finding the Fourth Proportional to 261,766.80, 392,711.70 and 84,267.15

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Solution

The fourth proportional to 261,766.80, 392,711.70 and 84,267.15 is: 126,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,766.80 : 392,711.70 = 84,267.15 : x
  2. Step 2: Convert to fraction form
    261,766.80/392,711.70 = 84,267.15/x
  3. Step 3: Cross multiply
    261,766.80x = 392,711.70 × 84,267.15
  4. Step 4: Simplify right side
    261,766.80x = 33,092,695,730.66
  5. Step 5: Solve for x
    x = 33,092,695,730.66/261,766.80
  6. Step 6: Final answer
    x = 126,420.52

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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.