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Finding the Fourth Proportional to 259,793.10, 389,703.15 and 126,786.78

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Solution

The fourth proportional to 259,793.10, 389,703.15 and 126,786.78 is: 190,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,793.10 : 389,703.15 = 126,786.78 : x
  2. Step 2: Convert to fraction form
    259,793.10/389,703.15 = 126,786.78/x
  3. Step 3: Cross multiply
    259,793.10x = 389,703.15 × 126,786.78
  4. Step 4: Simplify right side
    259,793.10x = 49,409,207,544.36
  5. Step 5: Solve for x
    x = 49,409,207,544.36/259,793.10
  6. Step 6: Final answer
    x = 190,186.76

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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.