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Finding the Fourth Proportional to 261,398.29, 392,060.37 and 83,882.35

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Solution

The fourth proportional to 261,398.29, 392,060.37 and 83,882.35 is: 125,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,398.29 : 392,060.37 = 83,882.35 : x
  2. Step 2: Convert to fraction form
    261,398.29/392,060.37 = 83,882.35/x
  3. Step 3: Cross multiply
    261,398.29x = 392,060.37 × 83,882.35
  4. Step 4: Simplify right side
    261,398.29x = 32,886,945,177.47
  5. Step 5: Solve for x
    x = 32,886,945,177.47/261,398.29
  6. Step 6: Final answer
    x = 125,811.63

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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.