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Finding the Fourth Proportional to 71,872.41, 107,829.42 and 29,744.72

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Solution

The fourth proportional to 71,872.41, 107,829.42 and 29,744.72 is: 44,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872.41 : 107,829.42 = 29,744.72 : x
  2. Step 2: Convert to fraction form
    71,872.41/107,829.42 = 29,744.72/x
  3. Step 3: Cross multiply
    71,872.41x = 107,829.42 × 29,744.72
  4. Step 4: Simplify right side
    71,872.41x = 3,207,355,905.66
  5. Step 5: Solve for x
    x = 3,207,355,905.66/71,872.41
  6. Step 6: Final answer
    x = 44,625.69

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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.