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Finding the Fourth Proportional to 71,414.16, 107,129.88 and 29,855.76

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Solution

The fourth proportional to 71,414.16, 107,129.88 and 29,855.76 is: 44,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,414.16 : 107,129.88 = 29,855.76 : x
  2. Step 2: Convert to fraction form
    71,414.16/107,129.88 = 29,855.76/x
  3. Step 3: Cross multiply
    71,414.16x = 107,129.88 × 29,855.76
  4. Step 4: Simplify right side
    71,414.16x = 3,198,443,986.11
  5. Step 5: Solve for x
    x = 3,198,443,986.11/71,414.16
  6. Step 6: Final answer
    x = 44,787.25

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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.