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Finding the Fourth Proportional to 71,469.71, 98,634.24 and 39,648.86

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Solution

The fourth proportional to 71,469.71, 98,634.24 and 39,648.86 is: 54,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469.71 : 98,634.24 = 39,648.86 : x
  2. Step 2: Convert to fraction form
    71,469.71/98,634.24 = 39,648.86/x
  3. Step 3: Cross multiply
    71,469.71x = 98,634.24 × 39,648.86
  4. Step 4: Simplify right side
    71,469.71x = 3,910,734,679.80
  5. Step 5: Solve for x
    x = 3,910,734,679.80/71,469.71
  6. Step 6: Final answer
    x = 54,718.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.