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Finding the Fourth Proportional to 225,917.56, 311,772 and 123,947.38

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Solution

The fourth proportional to 225,917.56, 311,772 and 123,947.38 is: 171,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,917.56 : 311,772 = 123,947.38 : x
  2. Step 2: Convert to fraction form
    225,917.56/311,772 = 123,947.38/x
  3. Step 3: Cross multiply
    225,917.56x = 311,772 × 123,947.38
  4. Step 4: Simplify right side
    225,917.56x = 38,643,322,557.36
  5. Step 5: Solve for x
    x = 38,643,322,557.36/225,917.56
  6. Step 6: Final answer
    x = 171,050.55

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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.