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Finding the Fourth Proportional to 71,721.32, 98,974.02 and 39,889.54

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Solution

The fourth proportional to 71,721.32, 98,974.02 and 39,889.54 is: 55,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,721.32 : 98,974.02 = 39,889.54 : x
  2. Step 2: Convert to fraction form
    71,721.32/98,974.02 = 39,889.54/x
  3. Step 3: Cross multiply
    71,721.32x = 98,974.02 × 39,889.54
  4. Step 4: Simplify right side
    71,721.32x = 3,948,028,129.75
  5. Step 5: Solve for x
    x = 3,948,028,129.75/71,721.32
  6. Step 6: Final answer
    x = 55,046.79

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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.