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Finding the Fourth Proportional to 262,697.92, 394,109.52 and 85,205.32

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Solution

The fourth proportional to 262,697.92, 394,109.52 and 85,205.32 is: 127,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,697.92 : 394,109.52 = 85,205.32 : x
  2. Step 2: Convert to fraction form
    262,697.92/394,109.52 = 85,205.32/x
  3. Step 3: Cross multiply
    262,697.92x = 394,109.52 × 85,205.32
  4. Step 4: Simplify right side
    262,697.92x = 33,580,227,766.65
  5. Step 5: Solve for x
    x = 33,580,227,766.65/262,697.92
  6. Step 6: Final answer
    x = 127,828.30

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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.