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Finding the Fourth Proportional to 115.74, 174.35 and 94.62

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Solution

The fourth proportional to 115.74, 174.35 and 94.62 is: 142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.74 : 174.35 = 94.62 : x
  2. Step 2: Convert to fraction form
    115.74/174.35 = 94.62/x
  3. Step 3: Cross multiply
    115.74x = 174.35 × 94.62
  4. Step 4: Simplify right side
    115.74x = 16,496.52
  5. Step 5: Solve for x
    x = 16,496.52/115.74
  6. Step 6: Final answer
    x = 142.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.