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Finding the Fourth Proportional to 84.81, 126.53 and 76.95

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Solution

The fourth proportional to 84.81, 126.53 and 76.95 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.81 : 126.53 = 76.95 : x
  2. Step 2: Convert to fraction form
    84.81/126.53 = 76.95/x
  3. Step 3: Cross multiply
    84.81x = 126.53 × 76.95
  4. Step 4: Simplify right side
    84.81x = 9,736.68
  5. Step 5: Solve for x
    x = 9,736.68/84.81
  6. Step 6: Final answer
    x = 114.81

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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.