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Finding the Fourth Proportional to 138,706.56, 191,414.31 and 78,296.83

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Solution

The fourth proportional to 138,706.56, 191,414.31 and 78,296.83 is: 108,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.56 : 191,414.31 = 78,296.83 : x
  2. Step 2: Convert to fraction form
    138,706.56/191,414.31 = 78,296.83/x
  3. Step 3: Cross multiply
    138,706.56x = 191,414.31 × 78,296.83
  4. Step 4: Simplify right side
    138,706.56x = 14,987,132,917.49
  5. Step 5: Solve for x
    x = 14,987,132,917.49/138,706.56
  6. Step 6: Final answer
    x = 108,049.20

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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.