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Finding the Fourth Proportional to 225,819.20, 311,608.05 and 130,356.65

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Solution

The fourth proportional to 225,819.20, 311,608.05 and 130,356.65 is: 179,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,819.20 : 311,608.05 = 130,356.65 : x
  2. Step 2: Convert to fraction form
    225,819.20/311,608.05 = 130,356.65/x
  3. Step 3: Cross multiply
    225,819.20x = 311,608.05 × 130,356.65
  4. Step 4: Simplify right side
    225,819.20x = 40,620,181,801.22
  5. Step 5: Solve for x
    x = 40,620,181,801.22/225,819.20
  6. Step 6: Final answer
    x = 179,879.22

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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.