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Finding the Fourth Proportional to 81.99, 123.42 and 74.55

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Solution

The fourth proportional to 81.99, 123.42 and 74.55 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.99 : 123.42 = 74.55 : x
  2. Step 2: Convert to fraction form
    81.99/123.42 = 74.55/x
  3. Step 3: Cross multiply
    81.99x = 123.42 × 74.55
  4. Step 4: Simplify right side
    81.99x = 9,200.96
  5. Step 5: Solve for x
    x = 9,200.96/81.99
  6. Step 6: Final answer
    x = 112.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.