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Finding the Fourth Proportional to 116.43, 173.61 and 109.14

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Solution

The fourth proportional to 116.43, 173.61 and 109.14 is: 162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.43 : 173.61 = 109.14 : x
  2. Step 2: Convert to fraction form
    116.43/173.61 = 109.14/x
  3. Step 3: Cross multiply
    116.43x = 173.61 × 109.14
  4. Step 4: Simplify right side
    116.43x = 18,947.80
  5. Step 5: Solve for x
    x = 18,947.80/116.43
  6. Step 6: Final answer
    x = 162.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.