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Finding the Fourth Proportional to 200,648.70, 300,717.90 and 82,186.20

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Solution

The fourth proportional to 200,648.70, 300,717.90 and 82,186.20 is: 123,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,648.70 : 300,717.90 = 82,186.20 : x
  2. Step 2: Convert to fraction form
    200,648.70/300,717.90 = 82,186.20/x
  3. Step 3: Cross multiply
    200,648.70x = 300,717.90 × 82,186.20
  4. Step 4: Simplify right side
    200,648.70x = 24,714,861,472.98
  5. Step 5: Solve for x
    x = 24,714,861,472.98/200,648.70
  6. Step 6: Final answer
    x = 123,174.79

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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.