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Finding the Fourth Proportional to 95.76, 142.92 and 86.40

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Solution

The fourth proportional to 95.76, 142.92 and 86.40 is: 128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.76 : 142.92 = 86.40 : x
  2. Step 2: Convert to fraction form
    95.76/142.92 = 86.40/x
  3. Step 3: Cross multiply
    95.76x = 142.92 × 86.40
  4. Step 4: Simplify right side
    95.76x = 12,348.29
  5. Step 5: Solve for x
    x = 12,348.29/95.76
  6. Step 6: Final answer
    x = 128.95

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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.