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Finding the Fourth Proportional to 71,872.56, 107,843 and 32,441.84

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Solution

The fourth proportional to 71,872.56, 107,843 and 32,441.84 is: 48,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872.56 : 107,843 = 32,441.84 : x
  2. Step 2: Convert to fraction form
    71,872.56/107,843 = 32,441.84/x
  3. Step 3: Cross multiply
    71,872.56x = 107,843 × 32,441.84
  4. Step 4: Simplify right side
    71,872.56x = 3,498,625,351.12
  5. Step 5: Solve for x
    x = 3,498,625,351.12/71,872.56
  6. Step 6: Final answer
    x = 48,678.18

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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.