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Finding the Fourth Proportional to 116.92, 161.28 and 78.16

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Solution

The fourth proportional to 116.92, 161.28 and 78.16 is: 107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.92 : 161.28 = 78.16 : x
  2. Step 2: Convert to fraction form
    116.92/161.28 = 78.16/x
  3. Step 3: Cross multiply
    116.92x = 161.28 × 78.16
  4. Step 4: Simplify right side
    116.92x = 12,605.64
  5. Step 5: Solve for x
    x = 12,605.64/116.92
  6. Step 6: Final answer
    x = 107.81

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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.