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Finding the Fourth Proportional to 81,726, 122,596.05 and 22,561.68

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Solution

The fourth proportional to 81,726, 122,596.05 and 22,561.68 is: 33,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726 : 122,596.05 = 22,561.68 : x
  2. Step 2: Convert to fraction form
    81,726/122,596.05 = 22,561.68/x
  3. Step 3: Cross multiply
    81,726x = 122,596.05 × 22,561.68
  4. Step 4: Simplify right side
    81,726x = 2,765,972,849.36
  5. Step 5: Solve for x
    x = 2,765,972,849.36/81,726
  6. Step 6: Final answer
    x = 33,844.47

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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.