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Finding the Fourth Proportional to 71,839.20, 107,766.08 and 19,254

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Solution

The fourth proportional to 71,839.20, 107,766.08 and 19,254 is: 28,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,839.20 : 107,766.08 = 19,254 : x
  2. Step 2: Convert to fraction form
    71,839.20/107,766.08 = 19,254/x
  3. Step 3: Cross multiply
    71,839.20x = 107,766.08 × 19,254
  4. Step 4: Simplify right side
    71,839.20x = 2,074,928,104.32
  5. Step 5: Solve for x
    x = 2,074,928,104.32/71,839.20
  6. Step 6: Final answer
    x = 28,882.95

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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.