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Finding the Fourth Proportional to 100,067.14, 138,091.12 and 54,744

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Solution

The fourth proportional to 100,067.14, 138,091.12 and 54,744 is: 75,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,067.14 : 138,091.12 = 54,744 : x
  2. Step 2: Convert to fraction form
    100,067.14/138,091.12 = 54,744/x
  3. Step 3: Cross multiply
    100,067.14x = 138,091.12 × 54,744
  4. Step 4: Simplify right side
    100,067.14x = 7,559,660,273.28
  5. Step 5: Solve for x
    x = 7,559,660,273.28/100,067.14
  6. Step 6: Final answer
    x = 75,545.88

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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.