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Finding the Fourth Proportional to 71,958.42, 107,872.29 and 25,185.78

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Solution

The fourth proportional to 71,958.42, 107,872.29 and 25,185.78 is: 37,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,958.42 : 107,872.29 = 25,185.78 : x
  2. Step 2: Convert to fraction form
    71,958.42/107,872.29 = 25,185.78/x
  3. Step 3: Cross multiply
    71,958.42x = 107,872.29 × 25,185.78
  4. Step 4: Simplify right side
    71,958.42x = 2,716,847,764.04
  5. Step 5: Solve for x
    x = 2,716,847,764.04/71,958.42
  6. Step 6: Final answer
    x = 37,755.80

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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.