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Finding the Fourth Proportional to 259,540.80, 389,181.60 and 119,140.80

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Solution

The fourth proportional to 259,540.80, 389,181.60 and 119,140.80 is: 178,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,540.80 : 389,181.60 = 119,140.80 : x
  2. Step 2: Convert to fraction form
    259,540.80/389,181.60 = 119,140.80/x
  3. Step 3: Cross multiply
    259,540.80x = 389,181.60 × 119,140.80
  4. Step 4: Simplify right side
    259,540.80x = 46,367,407,169.28
  5. Step 5: Solve for x
    x = 46,367,407,169.28/259,540.80
  6. Step 6: Final answer
    x = 178,651.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.