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Finding the Fourth Proportional to 95.68, 142.31 and 87.02

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Solution

The fourth proportional to 95.68, 142.31 and 87.02 is: 129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.68 : 142.31 = 87.02 : x
  2. Step 2: Convert to fraction form
    95.68/142.31 = 87.02/x
  3. Step 3: Cross multiply
    95.68x = 142.31 × 87.02
  4. Step 4: Simplify right side
    95.68x = 12,383.82
  5. Step 5: Solve for x
    x = 12,383.82/95.68
  6. Step 6: Final answer
    x = 129.43

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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.