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Finding the Fourth Proportional to 96.90, 144.61 and 86.65

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Solution

The fourth proportional to 96.90, 144.61 and 86.65 is: 129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 144.61 = 86.65 : x
  2. Step 2: Convert to fraction form
    96.90/144.61 = 86.65/x
  3. Step 3: Cross multiply
    96.90x = 144.61 × 86.65
  4. Step 4: Simplify right side
    96.90x = 12,530.46
  5. Step 5: Solve for x
    x = 12,530.46/96.90
  6. Step 6: Final answer
    x = 129.31

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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.