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Finding the Fourth Proportional to 139.44, 192.30 and 106.62

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Solution

The fourth proportional to 139.44, 192.30 and 106.62 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.44 : 192.30 = 106.62 : x
  2. Step 2: Convert to fraction form
    139.44/192.30 = 106.62/x
  3. Step 3: Cross multiply
    139.44x = 192.30 × 106.62
  4. Step 4: Simplify right side
    139.44x = 20,503.03
  5. Step 5: Solve for x
    x = 20,503.03/139.44
  6. Step 6: Final answer
    x = 147.04

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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.