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Finding the Fourth Proportional to 72.14, 107.67 and 67.38

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Solution

The fourth proportional to 72.14, 107.67 and 67.38 is: 100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 107.67 = 67.38 : x
  2. Step 2: Convert to fraction form
    72.14/107.67 = 67.38/x
  3. Step 3: Cross multiply
    72.14x = 107.67 × 67.38
  4. Step 4: Simplify right side
    72.14x = 7,254.80
  5. Step 5: Solve for x
    x = 7,254.80/72.14
  6. Step 6: Final answer
    x = 100.57

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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.