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Finding the Fourth Proportional to 81,928.36, 122,892.48 and 22,764

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Solution

The fourth proportional to 81,928.36, 122,892.48 and 22,764 is: 34,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,928.36 : 122,892.48 = 22,764 : x
  2. Step 2: Convert to fraction form
    81,928.36/122,892.48 = 22,764/x
  3. Step 3: Cross multiply
    81,928.36x = 122,892.48 × 22,764
  4. Step 4: Simplify right side
    81,928.36x = 2,797,524,300.90
  5. Step 5: Solve for x
    x = 2,797,524,300.90/81,928.36
  6. Step 6: Final answer
    x = 34,145.98

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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.