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Finding the Fourth Proportional to 85,091, 127,694.82 and 29,687

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Solution

The fourth proportional to 85,091, 127,694.82 and 29,687 is: 44,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,091 : 127,694.82 = 29,687 : x
  2. Step 2: Convert to fraction form
    85,091/127,694.82 = 29,687/x
  3. Step 3: Cross multiply
    85,091x = 127,694.82 × 29,687
  4. Step 4: Simplify right side
    85,091x = 3,790,876,121.34
  5. Step 5: Solve for x
    x = 3,790,876,121.34/85,091
  6. Step 6: Final answer
    x = 44,550.85

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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.