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Finding the Fourth Proportional to 139.99, 193.02 and 96.25

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Solution

The fourth proportional to 139.99, 193.02 and 96.25 is: 132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.99 : 193.02 = 96.25 : x
  2. Step 2: Convert to fraction form
    139.99/193.02 = 96.25/x
  3. Step 3: Cross multiply
    139.99x = 193.02 × 96.25
  4. Step 4: Simplify right side
    139.99x = 18,578.18
  5. Step 5: Solve for x
    x = 18,578.18/139.99
  6. Step 6: Final answer
    x = 132.71

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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.