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Finding the Fourth Proportional to 206,508.34, 284,956.14 and 121,609

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Solution

The fourth proportional to 206,508.34, 284,956.14 and 121,609 is: 167,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.34 : 284,956.14 = 121,609 : x
  2. Step 2: Convert to fraction form
    206,508.34/284,956.14 = 121,609/x
  3. Step 3: Cross multiply
    206,508.34x = 284,956.14 × 121,609
  4. Step 4: Simplify right side
    206,508.34x = 34,653,231,229.26
  5. Step 5: Solve for x
    x = 34,653,231,229.26/206,508.34
  6. Step 6: Final answer
    x = 167,805.48

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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.