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Finding the Fourth Proportional to 225,734.70, 311,517.38 and 123,769.46

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Solution

The fourth proportional to 225,734.70, 311,517.38 and 123,769.46 is: 170,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,734.70 : 311,517.38 = 123,769.46 : x
  2. Step 2: Convert to fraction form
    225,734.70/311,517.38 = 123,769.46/x
  3. Step 3: Cross multiply
    225,734.70x = 311,517.38 × 123,769.46
  4. Step 4: Simplify right side
    225,734.70x = 38,556,337,903.21
  5. Step 5: Solve for x
    x = 38,556,337,903.21/225,734.70
  6. Step 6: Final answer
    x = 170,803.77

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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.