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Finding the Fourth Proportional to 139.57, 192.62 and 81.36

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Solution

The fourth proportional to 139.57, 192.62 and 81.36 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.57 : 192.62 = 81.36 : x
  2. Step 2: Convert to fraction form
    139.57/192.62 = 81.36/x
  3. Step 3: Cross multiply
    139.57x = 192.62 × 81.36
  4. Step 4: Simplify right side
    139.57x = 15,671.56
  5. Step 5: Solve for x
    x = 15,671.56/139.57
  6. Step 6: Final answer
    x = 112.28

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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.