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Finding the Fourth Proportional to 71,872.35, 107,832.35 and 31,885.86

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Solution

The fourth proportional to 71,872.35, 107,832.35 and 31,885.86 is: 47,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872.35 : 107,832.35 = 31,885.86 : x
  2. Step 2: Convert to fraction form
    71,872.35/107,832.35 = 31,885.86/x
  3. Step 3: Cross multiply
    71,872.35x = 107,832.35 × 31,885.86
  4. Step 4: Simplify right side
    71,872.35x = 3,438,327,215.57
  5. Step 5: Solve for x
    x = 3,438,327,215.57/71,872.35
  6. Step 6: Final answer
    x = 47,839.36

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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.