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Finding the Fourth Proportional to 71,294.60, 106,920.29 and 29,731.88

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Solution

The fourth proportional to 71,294.60, 106,920.29 and 29,731.88 is: 44,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.60 : 106,920.29 = 29,731.88 : x
  2. Step 2: Convert to fraction form
    71,294.60/106,920.29 = 29,731.88/x
  3. Step 3: Cross multiply
    71,294.60x = 106,920.29 × 29,731.88
  4. Step 4: Simplify right side
    71,294.60x = 3,178,941,231.85
  5. Step 5: Solve for x
    x = 3,178,941,231.85/71,294.60
  6. Step 6: Final answer
    x = 44,588.81

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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.