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Finding the Fourth Proportional to 81,791.10, 122,691.78 and 31,854.60

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Solution

The fourth proportional to 81,791.10, 122,691.78 and 31,854.60 is: 47,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,791.10 : 122,691.78 = 31,854.60 : x
  2. Step 2: Convert to fraction form
    81,791.10/122,691.78 = 31,854.60/x
  3. Step 3: Cross multiply
    81,791.10x = 122,691.78 × 31,854.60
  4. Step 4: Simplify right side
    81,791.10x = 3,908,297,575.19
  5. Step 5: Solve for x
    x = 3,908,297,575.19/81,791.10
  6. Step 6: Final answer
    x = 47,783.90

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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.