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Finding the Fourth Proportional to 71,546.58, 98,729.34 and 39,712.97

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Solution

The fourth proportional to 71,546.58, 98,729.34 and 39,712.97 is: 54,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.58 : 98,729.34 = 39,712.97 : x
  2. Step 2: Convert to fraction form
    71,546.58/98,729.34 = 39,712.97/x
  3. Step 3: Cross multiply
    71,546.58x = 98,729.34 × 39,712.97
  4. Step 4: Simplify right side
    71,546.58x = 3,920,835,045.20
  5. Step 5: Solve for x
    x = 3,920,835,045.20/71,546.58
  6. Step 6: Final answer
    x = 54,801.16

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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.