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Finding the Fourth Proportional to 81.36, 122.31 and 67.86

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Solution

The fourth proportional to 81.36, 122.31 and 67.86 is: 102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.36 : 122.31 = 67.86 : x
  2. Step 2: Convert to fraction form
    81.36/122.31 = 67.86/x
  3. Step 3: Cross multiply
    81.36x = 122.31 × 67.86
  4. Step 4: Simplify right side
    81.36x = 8,299.96
  5. Step 5: Solve for x
    x = 8,299.96/81.36
  6. Step 6: Final answer
    x = 102.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.