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Finding the Fourth Proportional to 139.52, 192.52 and 80.48

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Solution

The fourth proportional to 139.52, 192.52 and 80.48 is: 111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.52 : 192.52 = 80.48 : x
  2. Step 2: Convert to fraction form
    139.52/192.52 = 80.48/x
  3. Step 3: Cross multiply
    139.52x = 192.52 × 80.48
  4. Step 4: Simplify right side
    139.52x = 15,494.01
  5. Step 5: Solve for x
    x = 15,494.01/139.52
  6. Step 6: Final answer
    x = 111.05

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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.