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Finding the Fourth Proportional to 206,126.49, 284,472.90 and 115,481.88

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Solution

The fourth proportional to 206,126.49, 284,472.90 and 115,481.88 is: 159,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,126.49 : 284,472.90 = 115,481.88 : x
  2. Step 2: Convert to fraction form
    206,126.49/284,472.90 = 115,481.88/x
  3. Step 3: Cross multiply
    206,126.49x = 284,472.90 × 115,481.88
  4. Step 4: Simplify right side
    206,126.49x = 32,851,465,301.05
  5. Step 5: Solve for x
    x = 32,851,465,301.05/206,126.49
  6. Step 6: Final answer
    x = 159,375.27

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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.