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Finding the Fourth Proportional to 71,422.36, 107,134.45 and 49,229.78

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Solution

The fourth proportional to 71,422.36, 107,134.45 and 49,229.78 is: 73,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,422.36 : 107,134.45 = 49,229.78 : x
  2. Step 2: Convert to fraction form
    71,422.36/107,134.45 = 49,229.78/x
  3. Step 3: Cross multiply
    71,422.36x = 107,134.45 × 49,229.78
  4. Step 4: Simplify right side
    71,422.36x = 5,274,205,403.92
  5. Step 5: Solve for x
    x = 5,274,205,403.92/71,422.36
  6. Step 6: Final answer
    x = 73,845.30

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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.