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Finding the Fourth Proportional to 107.81, 161.31 and 67.04

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Solution

The fourth proportional to 107.81, 161.31 and 67.04 is: 100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.81 : 161.31 = 67.04 : x
  2. Step 2: Convert to fraction form
    107.81/161.31 = 67.04/x
  3. Step 3: Cross multiply
    107.81x = 161.31 × 67.04
  4. Step 4: Simplify right side
    107.81x = 10,814.88
  5. Step 5: Solve for x
    x = 10,814.88/107.81
  6. Step 6: Final answer
    x = 100.31

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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.