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Finding the Fourth Proportional to 107.89, 161.84 and 53.83

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Solution

The fourth proportional to 107.89, 161.84 and 53.83 is: 80.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.89 : 161.84 = 53.83 : x
  2. Step 2: Convert to fraction form
    107.89/161.84 = 53.83/x
  3. Step 3: Cross multiply
    107.89x = 161.84 × 53.83
  4. Step 4: Simplify right side
    107.89x = 8,711.85
  5. Step 5: Solve for x
    x = 8,711.85/107.89
  6. Step 6: Final answer
    x = 80.75

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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.