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Finding the Fourth Proportional to 81,682, 122,523 and 26,278

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Solution

The fourth proportional to 81,682, 122,523 and 26,278 is: 39,417

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,682 : 122,523 = 26,278 : x
  2. Step 2: Convert to fraction form
    81,682/122,523 = 26,278/x
  3. Step 3: Cross multiply
    81,682x = 122,523 × 26,278
  4. Step 4: Simplify right side
    81,682x = 3,219,659,394
  5. Step 5: Solve for x
    x = 3,219,659,394/81,682
  6. Step 6: Final answer
    x = 39,417

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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.