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Finding the Fourth Proportional to 261,597.30, 392,432.86 and 84,044.78

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Solution

The fourth proportional to 261,597.30, 392,432.86 and 84,044.78 is: 126,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,597.30 : 392,432.86 = 84,044.78 : x
  2. Step 2: Convert to fraction form
    261,597.30/392,432.86 = 84,044.78/x
  3. Step 3: Cross multiply
    261,597.30x = 392,432.86 × 84,044.78
  4. Step 4: Simplify right side
    261,597.30x = 32,981,933,383.47
  5. Step 5: Solve for x
    x = 32,981,933,383.47/261,597.30
  6. Step 6: Final answer
    x = 126,079.03

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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.