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Finding the Fourth Proportional to 81,982.97, 122,978.84 and 25,827.47

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Solution

The fourth proportional to 81,982.97, 122,978.84 and 25,827.47 is: 38,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,982.97 : 122,978.84 = 25,827.47 : x
  2. Step 2: Convert to fraction form
    81,982.97/122,978.84 = 25,827.47/x
  3. Step 3: Cross multiply
    81,982.97x = 122,978.84 × 25,827.47
  4. Step 4: Simplify right side
    81,982.97x = 3,176,232,300.73
  5. Step 5: Solve for x
    x = 3,176,232,300.73/81,982.97
  6. Step 6: Final answer
    x = 38,742.59

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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.