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Finding the Fourth Proportional to 225,914.32, 311,757 and 125,311.44

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Solution

The fourth proportional to 225,914.32, 311,757 and 125,311.44 is: 172,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,914.32 : 311,757 = 125,311.44 : x
  2. Step 2: Convert to fraction form
    225,914.32/311,757 = 125,311.44/x
  3. Step 3: Cross multiply
    225,914.32x = 311,757 × 125,311.44
  4. Step 4: Simplify right side
    225,914.32x = 39,066,718,600.08
  5. Step 5: Solve for x
    x = 39,066,718,600.08/225,914.32
  6. Step 6: Final answer
    x = 172,927.15

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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.