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Finding the Fourth Proportional to 81,843.88, 122,765.47 and 22,679.39

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Solution

The fourth proportional to 81,843.88, 122,765.47 and 22,679.39 is: 34,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.88 : 122,765.47 = 22,679.39 : x
  2. Step 2: Convert to fraction form
    81,843.88/122,765.47 = 22,679.39/x
  3. Step 3: Cross multiply
    81,843.88x = 122,765.47 × 22,679.39
  4. Step 4: Simplify right side
    81,843.88x = 2,784,245,302.14
  5. Step 5: Solve for x
    x = 2,784,245,302.14/81,843.88
  6. Step 6: Final answer
    x = 34,018.98

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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.