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Finding the Fourth Proportional to 106.83, 147.39 and 86.13

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Solution

The fourth proportional to 106.83, 147.39 and 86.13 is: 118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 147.39 = 86.13 : x
  2. Step 2: Convert to fraction form
    106.83/147.39 = 86.13/x
  3. Step 3: Cross multiply
    106.83x = 147.39 × 86.13
  4. Step 4: Simplify right side
    106.83x = 12,694.70
  5. Step 5: Solve for x
    x = 12,694.70/106.83
  6. Step 6: Final answer
    x = 118.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.