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Finding the Fourth Proportional to 67.25, 100.80 and 51.19

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Solution

The fourth proportional to 67.25, 100.80 and 51.19 is: 76.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.25 : 100.80 = 51.19 : x
  2. Step 2: Convert to fraction form
    67.25/100.80 = 51.19/x
  3. Step 3: Cross multiply
    67.25x = 100.80 × 51.19
  4. Step 4: Simplify right side
    67.25x = 5,159.70
  5. Step 5: Solve for x
    x = 5,159.70/67.25
  6. Step 6: Final answer
    x = 76.72

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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.