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Finding the Fourth Proportional to 225,431.38, 338,212.92 and 100,743.22

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Solution

The fourth proportional to 225,431.38, 338,212.92 and 100,743.22 is: 151,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,431.38 : 338,212.92 = 100,743.22 : x
  2. Step 2: Convert to fraction form
    225,431.38/338,212.92 = 100,743.22/x
  3. Step 3: Cross multiply
    225,431.38x = 338,212.92 × 100,743.22
  4. Step 4: Simplify right side
    225,431.38x = 34,072,658,606.40
  5. Step 5: Solve for x
    x = 34,072,658,606.40/225,431.38
  6. Step 6: Final answer
    x = 151,144.26

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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.