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Finding the Fourth Proportional to 263,169.95, 394,661.77 and 85,643.87

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Solution

The fourth proportional to 263,169.95, 394,661.77 and 85,643.87 is: 128,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,169.95 : 394,661.77 = 85,643.87 : x
  2. Step 2: Convert to fraction form
    263,169.95/394,661.77 = 85,643.87/x
  3. Step 3: Cross multiply
    263,169.95x = 394,661.77 × 85,643.87
  4. Step 4: Simplify right side
    263,169.95x = 33,800,359,136.43
  5. Step 5: Solve for x
    x = 33,800,359,136.43/263,169.95
  6. Step 6: Final answer
    x = 128,435.48

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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.