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Finding the Fourth Proportional to 81,791.21, 122,686.83 and 25,631.30

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Solution

The fourth proportional to 81,791.21, 122,686.83 and 25,631.30 is: 38,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,791.21 : 122,686.83 = 25,631.30 : x
  2. Step 2: Convert to fraction form
    81,791.21/122,686.83 = 25,631.30/x
  3. Step 3: Cross multiply
    81,791.21x = 122,686.83 × 25,631.30
  4. Step 4: Simplify right side
    81,791.21x = 3,144,622,817.62
  5. Step 5: Solve for x
    x = 3,144,622,817.62/81,791.21
  6. Step 6: Final answer
    x = 38,446.96

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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.