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Finding the Fourth Proportional to 226,761, 312,930.36 and 126,159

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Solution

The fourth proportional to 226,761, 312,930.36 and 126,159 is: 174,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,761 : 312,930.36 = 126,159 : x
  2. Step 2: Convert to fraction form
    226,761/312,930.36 = 126,159/x
  3. Step 3: Cross multiply
    226,761x = 312,930.36 × 126,159
  4. Step 4: Simplify right side
    226,761x = 39,478,981,287.24
  5. Step 5: Solve for x
    x = 39,478,981,287.24/226,761
  6. Step 6: Final answer
    x = 174,099.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.