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Finding the Fourth Proportional to 225,938, 338,907 and 78,194

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Solution

The fourth proportional to 225,938, 338,907 and 78,194 is: 117,291

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,938 : 338,907 = 78,194 : x
  2. Step 2: Convert to fraction form
    225,938/338,907 = 78,194/x
  3. Step 3: Cross multiply
    225,938x = 338,907 × 78,194
  4. Step 4: Simplify right side
    225,938x = 26,500,493,958
  5. Step 5: Solve for x
    x = 26,500,493,958/225,938
  6. Step 6: Final answer
    x = 117,291

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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.