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Finding the Fourth Proportional to 71,855.64, 107,832.72 and 25,108.50

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Solution

The fourth proportional to 71,855.64, 107,832.72 and 25,108.50 is: 37,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,855.64 : 107,832.72 = 25,108.50 : x
  2. Step 2: Convert to fraction form
    71,855.64/107,832.72 = 25,108.50/x
  3. Step 3: Cross multiply
    71,855.64x = 107,832.72 × 25,108.50
  4. Step 4: Simplify right side
    71,855.64x = 2,707,517,850.12
  5. Step 5: Solve for x
    x = 2,707,517,850.12/71,855.64
  6. Step 6: Final answer
    x = 37,679.96

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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.