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Finding the Fourth Proportional to 81,600.52, 122,400.78 and 22,442.44

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Solution

The fourth proportional to 81,600.52, 122,400.78 and 22,442.44 is: 33,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,600.52 : 122,400.78 = 22,442.44 : x
  2. Step 2: Convert to fraction form
    81,600.52/122,400.78 = 22,442.44/x
  3. Step 3: Cross multiply
    81,600.52x = 122,400.78 × 22,442.44
  4. Step 4: Simplify right side
    81,600.52x = 2,746,972,161.10
  5. Step 5: Solve for x
    x = 2,746,972,161.10/81,600.52
  6. Step 6: Final answer
    x = 33,663.66

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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.