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Finding the Fourth Proportional to 139.73, 193.19 and 96.39

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Solution

The fourth proportional to 139.73, 193.19 and 96.39 is: 133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.73 : 193.19 = 96.39 : x
  2. Step 2: Convert to fraction form
    139.73/193.19 = 96.39/x
  3. Step 3: Cross multiply
    139.73x = 193.19 × 96.39
  4. Step 4: Simplify right side
    139.73x = 18,621.10
  5. Step 5: Solve for x
    x = 18,621.10/139.73
  6. Step 6: Final answer
    x = 133.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.