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Finding the Fourth Proportional to 206,514, 285,006.60 and 117,107.28

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Solution

The fourth proportional to 206,514, 285,006.60 and 117,107.28 is: 161,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,514 : 285,006.60 = 117,107.28 : x
  2. Step 2: Convert to fraction form
    206,514/285,006.60 = 117,107.28/x
  3. Step 3: Cross multiply
    206,514x = 285,006.60 × 117,107.28
  4. Step 4: Simplify right side
    206,514x = 33,376,347,708.05
  5. Step 5: Solve for x
    x = 33,376,347,708.05/206,514
  6. Step 6: Final answer
    x = 161,617.85

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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.