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Finding the Fourth Proportional to 217,545.75, 326,318.63 and 77,309.91

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Solution

The fourth proportional to 217,545.75, 326,318.63 and 77,309.91 is: 115,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,545.75 : 326,318.63 = 77,309.91 : x
  2. Step 2: Convert to fraction form
    217,545.75/326,318.63 = 77,309.91/x
  3. Step 3: Cross multiply
    217,545.75x = 326,318.63 × 77,309.91
  4. Step 4: Simplify right side
    217,545.75x = 25,227,663,530.07
  5. Step 5: Solve for x
    x = 25,227,663,530.07/217,545.75
  6. Step 6: Final answer
    x = 115,964.87

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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.