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Finding the Fourth Proportional to 83,436, 115,141.68 and 49,902

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Solution

The fourth proportional to 83,436, 115,141.68 and 49,902 is: 68,864.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,436 : 115,141.68 = 49,902 : x
  2. Step 2: Convert to fraction form
    83,436/115,141.68 = 49,902/x
  3. Step 3: Cross multiply
    83,436x = 115,141.68 × 49,902
  4. Step 4: Simplify right side
    83,436x = 5,745,800,115.36
  5. Step 5: Solve for x
    x = 5,745,800,115.36/83,436
  6. Step 6: Final answer
    x = 68,864.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.