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Finding the Fourth Proportional to 259,859.94, 389,475.98 and 126,540.42

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Solution

The fourth proportional to 259,859.94, 389,475.98 and 126,540.42 is: 189,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,859.94 : 389,475.98 = 126,540.42 : x
  2. Step 2: Convert to fraction form
    259,859.94/389,475.98 = 126,540.42/x
  3. Step 3: Cross multiply
    259,859.94x = 389,475.98 × 126,540.42
  4. Step 4: Simplify right side
    259,859.94x = 49,284,454,089.11
  5. Step 5: Solve for x
    x = 49,284,454,089.11/259,859.94
  6. Step 6: Final answer
    x = 189,657.76

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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.