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Finding the Fourth Proportional to 119.47, 178.90 and 93.65

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Solution

The fourth proportional to 119.47, 178.90 and 93.65 is: 140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.47 : 178.90 = 93.65 : x
  2. Step 2: Convert to fraction form
    119.47/178.90 = 93.65/x
  3. Step 3: Cross multiply
    119.47x = 178.90 × 93.65
  4. Step 4: Simplify right side
    119.47x = 16,753.99
  5. Step 5: Solve for x
    x = 16,753.99/119.47
  6. Step 6: Final answer
    x = 140.24

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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.