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Finding the Fourth Proportional to 119.73, 179.56 and 51.24

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Solution

The fourth proportional to 119.73, 179.56 and 51.24 is: 76.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.73 : 179.56 = 51.24 : x
  2. Step 2: Convert to fraction form
    119.73/179.56 = 51.24/x
  3. Step 3: Cross multiply
    119.73x = 179.56 × 51.24
  4. Step 4: Simplify right side
    119.73x = 9,200.65
  5. Step 5: Solve for x
    x = 9,200.65/119.73
  6. Step 6: Final answer
    x = 76.85

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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.