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Finding the Fourth Proportional to 96.43, 143.89 and 86.17

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Solution

The fourth proportional to 96.43, 143.89 and 86.17 is: 128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.43 : 143.89 = 86.17 : x
  2. Step 2: Convert to fraction form
    96.43/143.89 = 86.17/x
  3. Step 3: Cross multiply
    96.43x = 143.89 × 86.17
  4. Step 4: Simplify right side
    96.43x = 12,398.57
  5. Step 5: Solve for x
    x = 12,398.57/96.43
  6. Step 6: Final answer
    x = 128.58

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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.