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Finding the Fourth Proportional to 106.15, 158.61 and 86.65

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Solution

The fourth proportional to 106.15, 158.61 and 86.65 is: 129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.15 : 158.61 = 86.65 : x
  2. Step 2: Convert to fraction form
    106.15/158.61 = 86.65/x
  3. Step 3: Cross multiply
    106.15x = 158.61 × 86.65
  4. Step 4: Simplify right side
    106.15x = 13,743.56
  5. Step 5: Solve for x
    x = 13,743.56/106.15
  6. Step 6: Final answer
    x = 129.47

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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.