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Finding the Fourth Proportional to 139.57, 192.63 and 81.37

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Solution

The fourth proportional to 139.57, 192.63 and 81.37 is: 112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.57 : 192.63 = 81.37 : x
  2. Step 2: Convert to fraction form
    139.57/192.63 = 81.37/x
  3. Step 3: Cross multiply
    139.57x = 192.63 × 81.37
  4. Step 4: Simplify right side
    139.57x = 15,674.30
  5. Step 5: Solve for x
    x = 15,674.30/139.57
  6. Step 6: Final answer
    x = 112.30

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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.