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Finding the Fourth Proportional to 139,230.20, 192,137.87 and 75,568

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Solution

The fourth proportional to 139,230.20, 192,137.87 and 75,568 is: 104,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,230.20 : 192,137.87 = 75,568 : x
  2. Step 2: Convert to fraction form
    139,230.20/192,137.87 = 75,568/x
  3. Step 3: Cross multiply
    139,230.20x = 192,137.87 × 75,568
  4. Step 4: Simplify right side
    139,230.20x = 14,519,474,560.16
  5. Step 5: Solve for x
    x = 14,519,474,560.16/139,230.20
  6. Step 6: Final answer
    x = 104,283.95

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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.