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Finding the Fourth Proportional to 263,203.90, 394,833.53 and 85,724.75

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Solution

The fourth proportional to 263,203.90, 394,833.53 and 85,724.75 is: 128,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,203.90 : 394,833.53 = 85,724.75 : x
  2. Step 2: Convert to fraction form
    263,203.90/394,833.53 = 85,724.75/x
  3. Step 3: Cross multiply
    263,203.90x = 394,833.53 × 85,724.75
  4. Step 4: Simplify right side
    263,203.90x = 33,847,006,852.26
  5. Step 5: Solve for x
    x = 33,847,006,852.26/263,203.90
  6. Step 6: Final answer
    x = 128,596.15

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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.