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Finding the Fourth Proportional to 85,086, 127,687.32 and 29,682

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Solution

The fourth proportional to 85,086, 127,687.32 and 29,682 is: 44,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,086 : 127,687.32 = 29,682 : x
  2. Step 2: Convert to fraction form
    85,086/127,687.32 = 29,682/x
  3. Step 3: Cross multiply
    85,086x = 127,687.32 × 29,682
  4. Step 4: Simplify right side
    85,086x = 3,790,015,032.24
  5. Step 5: Solve for x
    x = 3,790,015,032.24/85,086
  6. Step 6: Final answer
    x = 44,543.34

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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.