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Finding the Fourth Proportional to 225,879.18, 311,723.04 and 135,217.59

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Solution

The fourth proportional to 225,879.18, 311,723.04 and 135,217.59 is: 186,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,879.18 : 311,723.04 = 135,217.59 : x
  2. Step 2: Convert to fraction form
    225,879.18/311,723.04 = 135,217.59/x
  3. Step 3: Cross multiply
    225,879.18x = 311,723.04 × 135,217.59
  4. Step 4: Simplify right side
    225,879.18x = 42,150,438,216.27
  5. Step 5: Solve for x
    x = 42,150,438,216.27/225,879.18
  6. Step 6: Final answer
    x = 186,606.12

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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.