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Finding the Fourth Proportional to 84.05, 125.48 and 77.56

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Solution

The fourth proportional to 84.05, 125.48 and 77.56 is: 115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.05 : 125.48 = 77.56 : x
  2. Step 2: Convert to fraction form
    84.05/125.48 = 77.56/x
  3. Step 3: Cross multiply
    84.05x = 125.48 × 77.56
  4. Step 4: Simplify right side
    84.05x = 9,731.84
  5. Step 5: Solve for x
    x = 9,731.84/84.05
  6. Step 6: Final answer
    x = 115.79

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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.