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Finding the Fourth Proportional to 200,545.20, 300,817.80 and 82,301.40

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Solution

The fourth proportional to 200,545.20, 300,817.80 and 82,301.40 is: 123,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,545.20 : 300,817.80 = 82,301.40 : x
  2. Step 2: Convert to fraction form
    200,545.20/300,817.80 = 82,301.40/x
  3. Step 3: Cross multiply
    200,545.20x = 300,817.80 × 82,301.40
  4. Step 4: Simplify right side
    200,545.20x = 24,757,726,084.92
  5. Step 5: Solve for x
    x = 24,757,726,084.92/200,545.20
  6. Step 6: Final answer
    x = 123,452.10

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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.