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Finding the Fourth Proportional to 139.69, 193.06 and 108.57

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Solution

The fourth proportional to 139.69, 193.06 and 108.57 is: 150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.69 : 193.06 = 108.57 : x
  2. Step 2: Convert to fraction form
    139.69/193.06 = 108.57/x
  3. Step 3: Cross multiply
    139.69x = 193.06 × 108.57
  4. Step 4: Simplify right side
    139.69x = 20,961.44
  5. Step 5: Solve for x
    x = 20,961.44/139.69
  6. Step 6: Final answer
    x = 150.05

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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.