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Finding the Fourth Proportional to 71.14, 107.33 and 67.78

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Solution

The fourth proportional to 71.14, 107.33 and 67.78 is: 102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.14 : 107.33 = 67.78 : x
  2. Step 2: Convert to fraction form
    71.14/107.33 = 67.78/x
  3. Step 3: Cross multiply
    71.14x = 107.33 × 67.78
  4. Step 4: Simplify right side
    71.14x = 7,274.83
  5. Step 5: Solve for x
    x = 7,274.83/71.14
  6. Step 6: Final answer
    x = 102.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.