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Finding the Fourth Proportional to 139.62, 193.74 and 134.49

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Solution

The fourth proportional to 139.62, 193.74 and 134.49 is: 186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.62 : 193.74 = 134.49 : x
  2. Step 2: Convert to fraction form
    139.62/193.74 = 134.49/x
  3. Step 3: Cross multiply
    139.62x = 193.74 × 134.49
  4. Step 4: Simplify right side
    139.62x = 26,056.09
  5. Step 5: Solve for x
    x = 26,056.09/139.62
  6. Step 6: Final answer
    x = 186.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.