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Finding the Fourth Proportional to 119.87, 178.89 and 101.57

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Solution

The fourth proportional to 119.87, 178.89 and 101.57 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.87 : 178.89 = 101.57 : x
  2. Step 2: Convert to fraction form
    119.87/178.89 = 101.57/x
  3. Step 3: Cross multiply
    119.87x = 178.89 × 101.57
  4. Step 4: Simplify right side
    119.87x = 18,168.96
  5. Step 5: Solve for x
    x = 18,168.96/119.87
  6. Step 6: Final answer
    x = 151.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.