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Finding the Fourth Proportional to 138,919.93, 191,691.17 and 87,842.54

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Solution

The fourth proportional to 138,919.93, 191,691.17 and 87,842.54 is: 121,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,919.93 : 191,691.17 = 87,842.54 : x
  2. Step 2: Convert to fraction form
    138,919.93/191,691.17 = 87,842.54/x
  3. Step 3: Cross multiply
    138,919.93x = 191,691.17 × 87,842.54
  4. Step 4: Simplify right side
    138,919.93x = 16,838,639,390.74
  5. Step 5: Solve for x
    x = 16,838,639,390.74/138,919.93
  6. Step 6: Final answer
    x = 121,211.12

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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.