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Finding the Fourth Proportional to 225,764.64, 311,552.80 and 123,789.78

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Solution

The fourth proportional to 225,764.64, 311,552.80 and 123,789.78 is: 170,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,764.64 : 311,552.80 = 123,789.78 : x
  2. Step 2: Convert to fraction form
    225,764.64/311,552.80 = 123,789.78/x
  3. Step 3: Cross multiply
    225,764.64x = 311,552.80 × 123,789.78
  4. Step 4: Simplify right side
    225,764.64x = 38,567,052,260.91
  5. Step 5: Solve for x
    x = 38,567,052,260.91/225,764.64
  6. Step 6: Final answer
    x = 170,828.58

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1.5x scale

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.