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Finding the Fourth Proportional to 225,429.93, 311,039.91 and 133,502.79

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Solution

The fourth proportional to 225,429.93, 311,039.91 and 133,502.79 is: 184,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,429.93 : 311,039.91 = 133,502.79 : x
  2. Step 2: Convert to fraction form
    225,429.93/311,039.91 = 133,502.79/x
  3. Step 3: Cross multiply
    225,429.93x = 311,039.91 × 133,502.79
  4. Step 4: Simplify right side
    225,429.93x = 41,524,695,786.35
  5. Step 5: Solve for x
    x = 41,524,695,786.35/225,429.93
  6. Step 6: Final answer
    x = 184,202.23

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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.