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Finding the Fourth Proportional to 81.99, 123.57 and 74.43

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Solution

The fourth proportional to 81.99, 123.57 and 74.43 is: 112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.99 : 123.57 = 74.43 : x
  2. Step 2: Convert to fraction form
    81.99/123.57 = 74.43/x
  3. Step 3: Cross multiply
    81.99x = 123.57 × 74.43
  4. Step 4: Simplify right side
    81.99x = 9,197.32
  5. Step 5: Solve for x
    x = 9,197.32/81.99
  6. Step 6: Final answer
    x = 112.18

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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.