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Finding the Fourth Proportional to 261,385.61, 392,129.46 and 83,878.97

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Solution

The fourth proportional to 261,385.61, 392,129.46 and 83,878.97 is: 125,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,385.61 : 392,129.46 = 83,878.97 : x
  2. Step 2: Convert to fraction form
    261,385.61/392,129.46 = 83,878.97/x
  3. Step 3: Cross multiply
    261,385.61x = 392,129.46 × 83,878.97
  4. Step 4: Simplify right side
    261,385.61x = 32,891,413,250.81
  5. Step 5: Solve for x
    x = 32,891,413,250.81/261,385.61
  6. Step 6: Final answer
    x = 125,834.83

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1.5x scale

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.