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Finding the Fourth Proportional to 81,801.26, 122,627.62 and 29,198.44

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Solution

The fourth proportional to 81,801.26, 122,627.62 and 29,198.44 is: 43,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,801.26 : 122,627.62 = 29,198.44 : x
  2. Step 2: Convert to fraction form
    81,801.26/122,627.62 = 29,198.44/x
  3. Step 3: Cross multiply
    81,801.26x = 122,627.62 × 29,198.44
  4. Step 4: Simplify right side
    81,801.26x = 3,580,535,394.70
  5. Step 5: Solve for x
    x = 3,580,535,394.70/81,801.26
  6. Step 6: Final answer
    x = 43,771.15

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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.