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Finding the Fourth Proportional to 226,743, 312,905.34 and 126,141

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Solution

The fourth proportional to 226,743, 312,905.34 and 126,141 is: 174,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,743 : 312,905.34 = 126,141 : x
  2. Step 2: Convert to fraction form
    226,743/312,905.34 = 126,141/x
  3. Step 3: Cross multiply
    226,743x = 312,905.34 × 126,141
  4. Step 4: Simplify right side
    226,743x = 39,470,192,492.94
  5. Step 5: Solve for x
    x = 39,470,192,492.94/226,743
  6. Step 6: Final answer
    x = 174,074.58

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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.