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Finding the Fourth Proportional to 138,545.76, 191,065.56 and 87,469.72

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Solution

The fourth proportional to 138,545.76, 191,065.56 and 87,469.72 is: 120,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,545.76 : 191,065.56 = 87,469.72 : x
  2. Step 2: Convert to fraction form
    138,545.76/191,065.56 = 87,469.72/x
  3. Step 3: Cross multiply
    138,545.76x = 191,065.56 × 87,469.72
  4. Step 4: Simplify right side
    138,545.76x = 16,712,451,034.84
  5. Step 5: Solve for x
    x = 16,712,451,034.84/138,545.76
  6. Step 6: Final answer
    x = 120,627.66

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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.