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Finding the Fourth Proportional to 71,651.82, 107,478.74 and 27,281

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Solution

The fourth proportional to 71,651.82, 107,478.74 and 27,281 is: 40,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,651.82 : 107,478.74 = 27,281 : x
  2. Step 2: Convert to fraction form
    71,651.82/107,478.74 = 27,281/x
  3. Step 3: Cross multiply
    71,651.82x = 107,478.74 × 27,281
  4. Step 4: Simplify right side
    71,651.82x = 2,932,127,505.94
  5. Step 5: Solve for x
    x = 2,932,127,505.94/71,651.82
  6. Step 6: Final answer
    x = 40,921.88

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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.