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Finding the Fourth Proportional to 204,861.80, 307,335.90 and 86,472.20

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Solution

The fourth proportional to 204,861.80, 307,335.90 and 86,472.20 is: 129,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,861.80 : 307,335.90 = 86,472.20 : x
  2. Step 2: Convert to fraction form
    204,861.80/307,335.90 = 86,472.20/x
  3. Step 3: Cross multiply
    204,861.80x = 307,335.90 × 86,472.20
  4. Step 4: Simplify right side
    204,861.80x = 26,576,011,411.98
  5. Step 5: Solve for x
    x = 26,576,011,411.98/204,861.80
  6. Step 6: Final answer
    x = 129,726.53

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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.