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Finding the Fourth Proportional to 71,127.36, 106,687.68 and 17,819.84

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Solution

The fourth proportional to 71,127.36, 106,687.68 and 17,819.84 is: 26,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,127.36 : 106,687.68 = 17,819.84 : x
  2. Step 2: Convert to fraction form
    71,127.36/106,687.68 = 17,819.84/x
  3. Step 3: Cross multiply
    71,127.36x = 106,687.68 × 17,819.84
  4. Step 4: Simplify right side
    71,127.36x = 1,901,157,387.57
  5. Step 5: Solve for x
    x = 1,901,157,387.57/71,127.36
  6. Step 6: Final answer
    x = 26,728.92

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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.