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Finding the Fourth Proportional to 81,612, 122,439.60 and 26,209.44

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Solution

The fourth proportional to 81,612, 122,439.60 and 26,209.44 is: 39,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,612 : 122,439.60 = 26,209.44 : x
  2. Step 2: Convert to fraction form
    81,612/122,439.60 = 26,209.44/x
  3. Step 3: Cross multiply
    81,612x = 122,439.60 × 26,209.44
  4. Step 4: Simplify right side
    81,612x = 3,209,073,349.82
  5. Step 5: Solve for x
    x = 3,209,073,349.82/81,612
  6. Step 6: Final answer
    x = 39,321.10

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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.