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Finding the Fourth Proportional to 225,620.27, 338,356.59 and 105,640.09

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Solution

The fourth proportional to 225,620.27, 338,356.59 and 105,640.09 is: 158,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,620.27 : 338,356.59 = 105,640.09 : x
  2. Step 2: Convert to fraction form
    225,620.27/338,356.59 = 105,640.09/x
  3. Step 3: Cross multiply
    225,620.27x = 338,356.59 × 105,640.09
  4. Step 4: Simplify right side
    225,620.27x = 35,744,019,971.88
  5. Step 5: Solve for x
    x = 35,744,019,971.88/225,620.27
  6. Step 6: Final answer
    x = 158,425.57

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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.