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Finding the Fourth Proportional to 119.60, 178.98 and 73.94

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Solution

The fourth proportional to 119.60, 178.98 and 73.94 is: 110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 178.98 = 73.94 : x
  2. Step 2: Convert to fraction form
    119.60/178.98 = 73.94/x
  3. Step 3: Cross multiply
    119.60x = 178.98 × 73.94
  4. Step 4: Simplify right side
    119.60x = 13,233.78
  5. Step 5: Solve for x
    x = 13,233.78/119.60
  6. Step 6: Final answer
    x = 110.65

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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.