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Finding the Fourth Proportional to 71,153.28, 106,729.92 and 26,789.98

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Solution

The fourth proportional to 71,153.28, 106,729.92 and 26,789.98 is: 40,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,153.28 : 106,729.92 = 26,789.98 : x
  2. Step 2: Convert to fraction form
    71,153.28/106,729.92 = 26,789.98/x
  3. Step 3: Cross multiply
    71,153.28x = 106,729.92 × 26,789.98
  4. Step 4: Simplify right side
    71,153.28x = 2,859,292,422.20
  5. Step 5: Solve for x
    x = 2,859,292,422.20/71,153.28
  6. Step 6: Final answer
    x = 40,184.97

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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.