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Finding the Fourth Proportional to 107.96, 147.78 and 104.68

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Solution

The fourth proportional to 107.96, 147.78 and 104.68 is: 143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.96 : 147.78 = 104.68 : x
  2. Step 2: Convert to fraction form
    107.96/147.78 = 104.68/x
  3. Step 3: Cross multiply
    107.96x = 147.78 × 104.68
  4. Step 4: Simplify right side
    107.96x = 15,469.61
  5. Step 5: Solve for x
    x = 15,469.61/107.96
  6. Step 6: Final answer
    x = 143.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.