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Finding the Fourth Proportional to 218,545.49, 327,876.57 and 78,318.29

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Solution

The fourth proportional to 218,545.49, 327,876.57 and 78,318.29 is: 117,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,545.49 : 327,876.57 = 78,318.29 : x
  2. Step 2: Convert to fraction form
    218,545.49/327,876.57 = 78,318.29/x
  3. Step 3: Cross multiply
    218,545.49x = 327,876.57 × 78,318.29
  4. Step 4: Simplify right side
    218,545.49x = 25,678,732,293.47
  5. Step 5: Solve for x
    x = 25,678,732,293.47/218,545.49
  6. Step 6: Final answer
    x = 117,498.34

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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.