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Finding the Fourth Proportional to 139.44, 192.42 and 106.68

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Solution

The fourth proportional to 139.44, 192.42 and 106.68 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.44 : 192.42 = 106.68 : x
  2. Step 2: Convert to fraction form
    139.44/192.42 = 106.68/x
  3. Step 3: Cross multiply
    139.44x = 192.42 × 106.68
  4. Step 4: Simplify right side
    139.44x = 20,527.37
  5. Step 5: Solve for x
    x = 20,527.37/139.44
  6. Step 6: Final answer
    x = 147.21

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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.