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Finding the Fourth Proportional to 81,668.82, 122,503.86 and 22,507.74

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Solution

The fourth proportional to 81,668.82, 122,503.86 and 22,507.74 is: 33,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,668.82 : 122,503.86 = 22,507.74 : x
  2. Step 2: Convert to fraction form
    81,668.82/122,503.86 = 22,507.74/x
  3. Step 3: Cross multiply
    81,668.82x = 122,503.86 × 22,507.74
  4. Step 4: Simplify right side
    81,668.82x = 2,757,285,029.88
  5. Step 5: Solve for x
    x = 2,757,285,029.88/81,668.82
  6. Step 6: Final answer
    x = 33,761.78

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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.