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Finding the Fourth Proportional to 81.43, 121.48 and 77.56

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Solution

The fourth proportional to 81.43, 121.48 and 77.56 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.43 : 121.48 = 77.56 : x
  2. Step 2: Convert to fraction form
    81.43/121.48 = 77.56/x
  3. Step 3: Cross multiply
    81.43x = 121.48 × 77.56
  4. Step 4: Simplify right side
    81.43x = 9,421.99
  5. Step 5: Solve for x
    x = 9,421.99/81.43
  6. Step 6: Final answer
    x = 115.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.