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Finding the Fourth Proportional to 116.64, 161.02 and 81.74

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Solution

The fourth proportional to 116.64, 161.02 and 81.74 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.64 : 161.02 = 81.74 : x
  2. Step 2: Convert to fraction form
    116.64/161.02 = 81.74/x
  3. Step 3: Cross multiply
    116.64x = 161.02 × 81.74
  4. Step 4: Simplify right side
    116.64x = 13,162.28
  5. Step 5: Solve for x
    x = 13,162.28/116.64
  6. Step 6: Final answer
    x = 112.85

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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.