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Finding the Fourth Proportional to 67.19, 100.81 and 43.09

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Solution

The fourth proportional to 67.19, 100.81 and 43.09 is: 64.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.19 : 100.81 = 43.09 : x
  2. Step 2: Convert to fraction form
    67.19/100.81 = 43.09/x
  3. Step 3: Cross multiply
    67.19x = 100.81 × 43.09
  4. Step 4: Simplify right side
    67.19x = 4,343.69
  5. Step 5: Solve for x
    x = 4,343.69/67.19
  6. Step 6: Final answer
    x = 64.65

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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.