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Finding the Fourth Proportional to 263,141.64, 394,717.32 and 85,647.96

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Solution

The fourth proportional to 263,141.64, 394,717.32 and 85,647.96 is: 128,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,141.64 : 394,717.32 = 85,647.96 : x
  2. Step 2: Convert to fraction form
    263,141.64/394,717.32 = 85,647.96/x
  3. Step 3: Cross multiply
    263,141.64x = 394,717.32 × 85,647.96
  4. Step 4: Simplify right side
    263,141.64x = 33,806,733,234.67
  5. Step 5: Solve for x
    x = 33,806,733,234.67/263,141.64
  6. Step 6: Final answer
    x = 128,473.52

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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.