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Finding the Fourth Proportional to 83,869.92, 115,695.90 and 63,693.36

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Solution

The fourth proportional to 83,869.92, 115,695.90 and 63,693.36 is: 87,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,869.92 : 115,695.90 = 63,693.36 : x
  2. Step 2: Convert to fraction form
    83,869.92/115,695.90 = 63,693.36/x
  3. Step 3: Cross multiply
    83,869.92x = 115,695.90 × 63,693.36
  4. Step 4: Simplify right side
    83,869.92x = 7,369,060,609.22
  5. Step 5: Solve for x
    x = 7,369,060,609.22/83,869.92
  6. Step 6: Final answer
    x = 87,862.97

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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.