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Finding the Fourth Proportional to 259,382.41, 389,040.81 and 69,857.92

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Solution

The fourth proportional to 259,382.41, 389,040.81 and 69,857.92 is: 104,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,382.41 : 389,040.81 = 69,857.92 : x
  2. Step 2: Convert to fraction form
    259,382.41/389,040.81 = 69,857.92/x
  3. Step 3: Cross multiply
    259,382.41x = 389,040.81 × 69,857.92
  4. Step 4: Simplify right side
    259,382.41x = 27,177,581,781.72
  5. Step 5: Solve for x
    x = 27,177,581,781.72/259,382.41
  6. Step 6: Final answer
    x = 104,778.04

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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.