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Finding the Fourth Proportional to 107.89, 162.42 and 98.80

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Solution

The fourth proportional to 107.89, 162.42 and 98.80 is: 148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.89 : 162.42 = 98.80 : x
  2. Step 2: Convert to fraction form
    107.89/162.42 = 98.80/x
  3. Step 3: Cross multiply
    107.89x = 162.42 × 98.80
  4. Step 4: Simplify right side
    107.89x = 16,046.32
  5. Step 5: Solve for x
    x = 16,046.32/107.89
  6. Step 6: Final answer
    x = 148.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.