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Finding the Fourth Proportional to 138,882, 191,668.92 and 78,463.72

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Solution

The fourth proportional to 138,882, 191,668.92 and 78,463.72 is: 108,286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,882 : 191,668.92 = 78,463.72 : x
  2. Step 2: Convert to fraction form
    138,882/191,668.92 = 78,463.72/x
  3. Step 3: Cross multiply
    138,882x = 191,668.92 × 78,463.72
  4. Step 4: Simplify right side
    138,882x = 15,039,056,471.58
  5. Step 5: Solve for x
    x = 15,039,056,471.58/138,882
  6. Step 6: Final answer
    x = 108,286.58

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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.