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Finding the Fourth Proportional to 226,150, 339,380.52 and 78,406

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Solution

The fourth proportional to 226,150, 339,380.52 and 78,406 is: 117,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,150 : 339,380.52 = 78,406 : x
  2. Step 2: Convert to fraction form
    226,150/339,380.52 = 78,406/x
  3. Step 3: Cross multiply
    226,150x = 339,380.52 × 78,406
  4. Step 4: Simplify right side
    226,150x = 26,609,469,051.12
  5. Step 5: Solve for x
    x = 26,609,469,051.12/226,150
  6. Step 6: Final answer
    x = 117,662.92

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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.