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Finding the Fourth Proportional to 139,647.20, 192,782 and 109,380.32

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Solution

The fourth proportional to 139,647.20, 192,782 and 109,380.32 is: 150,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,647.20 : 192,782 = 109,380.32 : x
  2. Step 2: Convert to fraction form
    139,647.20/192,782 = 109,380.32/x
  3. Step 3: Cross multiply
    139,647.20x = 192,782 × 109,380.32
  4. Step 4: Simplify right side
    139,647.20x = 21,086,556,850.24
  5. Step 5: Solve for x
    x = 21,086,556,850.24/139,647.20
  6. Step 6: Final answer
    x = 150,998.78

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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.