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Finding the Fourth Proportional to 139.88, 193.14 and 98.36

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Solution

The fourth proportional to 139.88, 193.14 and 98.36 is: 135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.88 : 193.14 = 98.36 : x
  2. Step 2: Convert to fraction form
    139.88/193.14 = 98.36/x
  3. Step 3: Cross multiply
    139.88x = 193.14 × 98.36
  4. Step 4: Simplify right side
    139.88x = 18,997.25
  5. Step 5: Solve for x
    x = 18,997.25/139.88
  6. Step 6: Final answer
    x = 135.81

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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.