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Finding the Fourth Proportional to 81,169.89, 121,754.43 and 22,005.47

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Solution

The fourth proportional to 81,169.89, 121,754.43 and 22,005.47 is: 33,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,169.89 : 121,754.43 = 22,005.47 : x
  2. Step 2: Convert to fraction form
    81,169.89/121,754.43 = 22,005.47/x
  3. Step 3: Cross multiply
    81,169.89x = 121,754.43 × 22,005.47
  4. Step 4: Simplify right side
    81,169.89x = 2,679,262,847.96
  5. Step 5: Solve for x
    x = 2,679,262,847.96/81,169.89
  6. Step 6: Final answer
    x = 33,008.09

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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.