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Finding the Fourth Proportional to 106.91, 147.62 and 82.48

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Solution

The fourth proportional to 106.91, 147.62 and 82.48 is: 113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.91 : 147.62 = 82.48 : x
  2. Step 2: Convert to fraction form
    106.91/147.62 = 82.48/x
  3. Step 3: Cross multiply
    106.91x = 147.62 × 82.48
  4. Step 4: Simplify right side
    106.91x = 12,175.70
  5. Step 5: Solve for x
    x = 12,175.70/106.91
  6. Step 6: Final answer
    x = 113.89

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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.