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Finding the Fourth Proportional to 111.70, 167.79 and 108.05

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Solution

The fourth proportional to 111.70, 167.79 and 108.05 is: 162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 167.79 = 108.05 : x
  2. Step 2: Convert to fraction form
    111.70/167.79 = 108.05/x
  3. Step 3: Cross multiply
    111.70x = 167.79 × 108.05
  4. Step 4: Simplify right side
    111.70x = 18,129.71
  5. Step 5: Solve for x
    x = 18,129.71/111.70
  6. Step 6: Final answer
    x = 162.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.