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Finding the Fourth Proportional to 81,697.47, 122,531.48 and 22,518.47

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Solution

The fourth proportional to 81,697.47, 122,531.48 and 22,518.47 is: 33,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,697.47 : 122,531.48 = 22,518.47 : x
  2. Step 2: Convert to fraction form
    81,697.47/122,531.48 = 22,518.47/x
  3. Step 3: Cross multiply
    81,697.47x = 122,531.48 × 22,518.47
  4. Step 4: Simplify right side
    81,697.47x = 2,759,221,456.44
  5. Step 5: Solve for x
    x = 2,759,221,456.44/81,697.47
  6. Step 6: Final answer
    x = 33,773.65

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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.