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Finding the Fourth Proportional to 116.92, 161.10 and 84.16

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Solution

The fourth proportional to 116.92, 161.10 and 84.16 is: 115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.92 : 161.10 = 84.16 : x
  2. Step 2: Convert to fraction form
    116.92/161.10 = 84.16/x
  3. Step 3: Cross multiply
    116.92x = 161.10 × 84.16
  4. Step 4: Simplify right side
    116.92x = 13,558.18
  5. Step 5: Solve for x
    x = 13,558.18/116.92
  6. Step 6: Final answer
    x = 115.96

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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.