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Finding the Fourth Proportional to 81,912.44, 122,861.90 and 22,749.50

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Solution

The fourth proportional to 81,912.44, 122,861.90 and 22,749.50 is: 34,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912.44 : 122,861.90 = 22,749.50 : x
  2. Step 2: Convert to fraction form
    81,912.44/122,861.90 = 22,749.50/x
  3. Step 3: Cross multiply
    81,912.44x = 122,861.90 × 22,749.50
  4. Step 4: Simplify right side
    81,912.44x = 2,795,046,794.05
  5. Step 5: Solve for x
    x = 2,795,046,794.05/81,912.44
  6. Step 6: Final answer
    x = 34,122.37

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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.