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Finding the Fourth Proportional to 119.07, 178.32 and 67.59

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Solution

The fourth proportional to 119.07, 178.32 and 67.59 is: 101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.07 : 178.32 = 67.59 : x
  2. Step 2: Convert to fraction form
    119.07/178.32 = 67.59/x
  3. Step 3: Cross multiply
    119.07x = 178.32 × 67.59
  4. Step 4: Simplify right side
    119.07x = 12,052.90
  5. Step 5: Solve for x
    x = 12,052.90/119.07
  6. Step 6: Final answer
    x = 101.22

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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.