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Finding the Fourth Proportional to 75,826, 113,739 and 20,422

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Solution

The fourth proportional to 75,826, 113,739 and 20,422 is: 30,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,826 : 113,739 = 20,422 : x
  2. Step 2: Convert to fraction form
    75,826/113,739 = 20,422/x
  3. Step 3: Cross multiply
    75,826x = 113,739 × 20,422
  4. Step 4: Simplify right side
    75,826x = 2,322,777,858
  5. Step 5: Solve for x
    x = 2,322,777,858/75,826
  6. Step 6: Final answer
    x = 30,633

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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.