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Finding the Fourth Proportional to 263,826, 395,739 and 66,834

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Solution

The fourth proportional to 263,826, 395,739 and 66,834 is: 100,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,826 : 395,739 = 66,834 : x
  2. Step 2: Convert to fraction form
    263,826/395,739 = 66,834/x
  3. Step 3: Cross multiply
    263,826x = 395,739 × 66,834
  4. Step 4: Simplify right side
    263,826x = 26,448,820,326
  5. Step 5: Solve for x
    x = 26,448,820,326/263,826
  6. Step 6: Final answer
    x = 100,251

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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.