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Finding the Fourth Proportional to 106.62, 159.14 and 99.09

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Solution

The fourth proportional to 106.62, 159.14 and 99.09 is: 147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.62 : 159.14 = 99.09 : x
  2. Step 2: Convert to fraction form
    106.62/159.14 = 99.09/x
  3. Step 3: Cross multiply
    106.62x = 159.14 × 99.09
  4. Step 4: Simplify right side
    106.62x = 15,768.69
  5. Step 5: Solve for x
    x = 15,768.69/106.62
  6. Step 6: Final answer
    x = 147.90

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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.