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Finding the Fourth Proportional to 119.52, 179.28 and 71.64

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Solution

The fourth proportional to 119.52, 179.28 and 71.64 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.52 : 179.28 = 71.64 : x
  2. Step 2: Convert to fraction form
    119.52/179.28 = 71.64/x
  3. Step 3: Cross multiply
    119.52x = 179.28 × 71.64
  4. Step 4: Simplify right side
    119.52x = 12,843.62
  5. Step 5: Solve for x
    x = 12,843.62/119.52
  6. Step 6: Final answer
    x = 107.46

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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.