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Finding the Fourth Proportional to 225,936, 338,904 and 78,192

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Solution

The fourth proportional to 225,936, 338,904 and 78,192 is: 117,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,936 : 338,904 = 78,192 : x
  2. Step 2: Convert to fraction form
    225,936/338,904 = 78,192/x
  3. Step 3: Cross multiply
    225,936x = 338,904 × 78,192
  4. Step 4: Simplify right side
    225,936x = 26,499,581,568
  5. Step 5: Solve for x
    x = 26,499,581,568/225,936
  6. Step 6: Final answer
    x = 117,288

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.