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Finding the Fourth Proportional to 71,757.96, 107,640.81 and 21,839.64

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Solution

The fourth proportional to 71,757.96, 107,640.81 and 21,839.64 is: 32,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.96 : 107,640.81 = 21,839.64 : x
  2. Step 2: Convert to fraction form
    71,757.96/107,640.81 = 21,839.64/x
  3. Step 3: Cross multiply
    71,757.96x = 107,640.81 × 21,839.64
  4. Step 4: Simplify right side
    71,757.96x = 2,350,836,539.71
  5. Step 5: Solve for x
    x = 2,350,836,539.71/71,757.96
  6. Step 6: Final answer
    x = 32,760.64

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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.