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Finding the Fourth Proportional to 206,838.43, 285,436.88 and 117,414.43

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Solution

The fourth proportional to 206,838.43, 285,436.88 and 117,414.43 is: 162,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.43 : 285,436.88 = 117,414.43 : x
  2. Step 2: Convert to fraction form
    206,838.43/285,436.88 = 117,414.43/x
  3. Step 3: Cross multiply
    206,838.43x = 285,436.88 × 117,414.43
  4. Step 4: Simplify right side
    206,838.43x = 33,514,407,979.11
  5. Step 5: Solve for x
    x = 33,514,407,979.11/206,838.43
  6. Step 6: Final answer
    x = 162,031.82

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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.