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Finding the Fourth Proportional to 81.40, 122.08 and 44.82

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Solution

The fourth proportional to 81.40, 122.08 and 44.82 is: 67.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.40 : 122.08 = 44.82 : x
  2. Step 2: Convert to fraction form
    81.40/122.08 = 44.82/x
  3. Step 3: Cross multiply
    81.40x = 122.08 × 44.82
  4. Step 4: Simplify right side
    81.40x = 5,471.63
  5. Step 5: Solve for x
    x = 5,471.63/81.40
  6. Step 6: Final answer
    x = 67.22

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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.