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Finding the Fourth Proportional to 75,846, 113,769 and 20,442

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Solution

The fourth proportional to 75,846, 113,769 and 20,442 is: 30,663

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846 : 113,769 = 20,442 : x
  2. Step 2: Convert to fraction form
    75,846/113,769 = 20,442/x
  3. Step 3: Cross multiply
    75,846x = 113,769 × 20,442
  4. Step 4: Simplify right side
    75,846x = 2,325,665,898
  5. Step 5: Solve for x
    x = 2,325,665,898/75,846
  6. Step 6: Final answer
    x = 30,663

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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.