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Finding the Fourth Proportional to 119.65, 179.12 and 89.35

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Solution

The fourth proportional to 119.65, 179.12 and 89.35 is: 133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.65 : 179.12 = 89.35 : x
  2. Step 2: Convert to fraction form
    119.65/179.12 = 89.35/x
  3. Step 3: Cross multiply
    119.65x = 179.12 × 89.35
  4. Step 4: Simplify right side
    119.65x = 16,004.37
  5. Step 5: Solve for x
    x = 16,004.37/119.65
  6. Step 6: Final answer
    x = 133.76

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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.