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Finding the Fourth Proportional to 71,991.31, 107,902.88 and 54,164.70

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Solution

The fourth proportional to 71,991.31, 107,902.88 and 54,164.70 is: 81,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,991.31 : 107,902.88 = 54,164.70 : x
  2. Step 2: Convert to fraction form
    71,991.31/107,902.88 = 54,164.70/x
  3. Step 3: Cross multiply
    71,991.31x = 107,902.88 × 54,164.70
  4. Step 4: Simplify right side
    71,991.31x = 5,844,527,158.99
  5. Step 5: Solve for x
    x = 5,844,527,158.99/71,991.31
  6. Step 6: Final answer
    x = 81,183.79

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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.