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Finding the Fourth Proportional to 76,846, 115,269 and 21,442

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Solution

The fourth proportional to 76,846, 115,269 and 21,442 is: 32,163

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,846 : 115,269 = 21,442 : x
  2. Step 2: Convert to fraction form
    76,846/115,269 = 21,442/x
  3. Step 3: Cross multiply
    76,846x = 115,269 × 21,442
  4. Step 4: Simplify right side
    76,846x = 2,471,597,898
  5. Step 5: Solve for x
    x = 2,471,597,898/76,846
  6. Step 6: Final answer
    x = 32,163

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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.