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Finding the Fourth Proportional to 185,691.90, 278,641.34 and 100,301.02

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Solution

The fourth proportional to 185,691.90, 278,641.34 and 100,301.02 is: 150,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,691.90 : 278,641.34 = 100,301.02 : x
  2. Step 2: Convert to fraction form
    185,691.90/278,641.34 = 100,301.02/x
  3. Step 3: Cross multiply
    185,691.90x = 278,641.34 × 100,301.02
  4. Step 4: Simplify right side
    185,691.90x = 27,948,010,616.17
  5. Step 5: Solve for x
    x = 27,948,010,616.17/185,691.90
  6. Step 6: Final answer
    x = 150,507.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.