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Finding the Fourth Proportional to 95.06, 141.82 and 87.23

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Solution

The fourth proportional to 95.06, 141.82 and 87.23 is: 130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 141.82 = 87.23 : x
  2. Step 2: Convert to fraction form
    95.06/141.82 = 87.23/x
  3. Step 3: Cross multiply
    95.06x = 141.82 × 87.23
  4. Step 4: Simplify right side
    95.06x = 12,370.96
  5. Step 5: Solve for x
    x = 12,370.96/95.06
  6. Step 6: Final answer
    x = 130.14

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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.