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Finding the Fourth Proportional to 87.84, 131.13 and 80.15

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Solution

The fourth proportional to 87.84, 131.13 and 80.15 is: 119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.84 : 131.13 = 80.15 : x
  2. Step 2: Convert to fraction form
    87.84/131.13 = 80.15/x
  3. Step 3: Cross multiply
    87.84x = 131.13 × 80.15
  4. Step 4: Simplify right side
    87.84x = 10,509.41
  5. Step 5: Solve for x
    x = 10,509.41/87.84
  6. Step 6: Final answer
    x = 119.64

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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.