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Finding the Fourth Proportional to 85,095, 127,700.82 and 29,691

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Solution

The fourth proportional to 85,095, 127,700.82 and 29,691 is: 44,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,095 : 127,700.82 = 29,691 : x
  2. Step 2: Convert to fraction form
    85,095/127,700.82 = 29,691/x
  3. Step 3: Cross multiply
    85,095x = 127,700.82 × 29,691
  4. Step 4: Simplify right side
    85,095x = 3,791,565,046.62
  5. Step 5: Solve for x
    x = 3,791,565,046.62/85,095
  6. Step 6: Final answer
    x = 44,556.85

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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.