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Finding the Fourth Proportional to 107.92, 162.04 and 99.80

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Solution

The fourth proportional to 107.92, 162.04 and 99.80 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.92 : 162.04 = 99.80 : x
  2. Step 2: Convert to fraction form
    107.92/162.04 = 99.80/x
  3. Step 3: Cross multiply
    107.92x = 162.04 × 99.80
  4. Step 4: Simplify right side
    107.92x = 16,171.59
  5. Step 5: Solve for x
    x = 16,171.59/107.92
  6. Step 6: Final answer
    x = 149.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.