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Finding the Fourth Proportional to 139.32, 192.72 and 122.08

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Solution

The fourth proportional to 139.32, 192.72 and 122.08 is: 168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 192.72 = 122.08 : x
  2. Step 2: Convert to fraction form
    139.32/192.72 = 122.08/x
  3. Step 3: Cross multiply
    139.32x = 192.72 × 122.08
  4. Step 4: Simplify right side
    139.32x = 23,527.26
  5. Step 5: Solve for x
    x = 23,527.26/139.32
  6. Step 6: Final answer
    x = 168.87

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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.