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Finding the Fourth Proportional to 76,826, 115,258.44 and 21,422

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Solution

The fourth proportional to 76,826, 115,258.44 and 21,422 is: 32,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,826 : 115,258.44 = 21,422 : x
  2. Step 2: Convert to fraction form
    76,826/115,258.44 = 21,422/x
  3. Step 3: Cross multiply
    76,826x = 115,258.44 × 21,422
  4. Step 4: Simplify right side
    76,826x = 2,469,066,301.68
  5. Step 5: Solve for x
    x = 2,469,066,301.68/76,826
  6. Step 6: Final answer
    x = 32,138.42

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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.