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Finding the Fourth Proportional to 138,791.28, 191,520.81 and 78,376.62

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Solution

The fourth proportional to 138,791.28, 191,520.81 and 78,376.62 is: 108,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,791.28 : 191,520.81 = 78,376.62 : x
  2. Step 2: Convert to fraction form
    138,791.28/191,520.81 = 78,376.62/x
  3. Step 3: Cross multiply
    138,791.28x = 191,520.81 × 78,376.62
  4. Step 4: Simplify right side
    138,791.28x = 15,010,753,747.46
  5. Step 5: Solve for x
    x = 15,010,753,747.46/138,791.28
  6. Step 6: Final answer
    x = 108,153.44

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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.