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Finding the Fourth Proportional to 81.95, 123.01 and 41.40

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Solution

The fourth proportional to 81.95, 123.01 and 41.40 is: 62.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.95 : 123.01 = 41.40 : x
  2. Step 2: Convert to fraction form
    81.95/123.01 = 41.40/x
  3. Step 3: Cross multiply
    81.95x = 123.01 × 41.40
  4. Step 4: Simplify right side
    81.95x = 5,092.97
  5. Step 5: Solve for x
    x = 5,092.97/81.95
  6. Step 6: Final answer
    x = 62.14

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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.