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Finding the Fourth Proportional to 87.10, 130.56 and 51.10

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Solution

The fourth proportional to 87.10, 130.56 and 51.10 is: 76.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.10 : 130.56 = 51.10 : x
  2. Step 2: Convert to fraction form
    87.10/130.56 = 51.10/x
  3. Step 3: Cross multiply
    87.10x = 130.56 × 51.10
  4. Step 4: Simplify right side
    87.10x = 6,671.62
  5. Step 5: Solve for x
    x = 6,671.62/87.10
  6. Step 6: Final answer
    x = 76.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.