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Finding the Fourth Proportional to 116.72, 161.14 and 77.38

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Solution

The fourth proportional to 116.72, 161.14 and 77.38 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.72 : 161.14 = 77.38 : x
  2. Step 2: Convert to fraction form
    116.72/161.14 = 77.38/x
  3. Step 3: Cross multiply
    116.72x = 161.14 × 77.38
  4. Step 4: Simplify right side
    116.72x = 12,469.01
  5. Step 5: Solve for x
    x = 12,469.01/116.72
  6. Step 6: Final answer
    x = 106.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.