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Finding the Fourth Proportional to 139.09, 192.14 and 111.42

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Solution

The fourth proportional to 139.09, 192.14 and 111.42 is: 153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.09 : 192.14 = 111.42 : x
  2. Step 2: Convert to fraction form
    139.09/192.14 = 111.42/x
  3. Step 3: Cross multiply
    139.09x = 192.14 × 111.42
  4. Step 4: Simplify right side
    139.09x = 21,408.24
  5. Step 5: Solve for x
    x = 21,408.24/139.09
  6. Step 6: Final answer
    x = 153.92

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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.