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Finding the Fourth Proportional to 83,898, 125,864.28 and 34,650

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Solution

The fourth proportional to 83,898, 125,864.28 and 34,650 is: 51,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,898 : 125,864.28 = 34,650 : x
  2. Step 2: Convert to fraction form
    83,898/125,864.28 = 34,650/x
  3. Step 3: Cross multiply
    83,898x = 125,864.28 × 34,650
  4. Step 4: Simplify right side
    83,898x = 4,361,197,302
  5. Step 5: Solve for x
    x = 4,361,197,302/83,898
  6. Step 6: Final answer
    x = 51,982.14

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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.