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Finding the Fourth Proportional to 218,490.62, 301,545.79 and 123,015.92

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Solution

The fourth proportional to 218,490.62, 301,545.79 and 123,015.92 is: 169,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,490.62 : 301,545.79 = 123,015.92 : x
  2. Step 2: Convert to fraction form
    218,490.62/301,545.79 = 123,015.92/x
  3. Step 3: Cross multiply
    218,490.62x = 301,545.79 × 123,015.92
  4. Step 4: Simplify right side
    218,490.62x = 37,094,930,963.71
  5. Step 5: Solve for x
    x = 37,094,930,963.71/218,490.62
  6. Step 6: Final answer
    x = 169,778.14

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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.