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Finding the Fourth Proportional to 87.74, 130.84 and 76.95

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Solution

The fourth proportional to 87.74, 130.84 and 76.95 is: 114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 130.84 = 76.95 : x
  2. Step 2: Convert to fraction form
    87.74/130.84 = 76.95/x
  3. Step 3: Cross multiply
    87.74x = 130.84 × 76.95
  4. Step 4: Simplify right side
    87.74x = 10,068.27
  5. Step 5: Solve for x
    x = 10,068.27/87.74
  6. Step 6: Final answer
    x = 114.76

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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.