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Finding the Fourth Proportional to 225,892.65, 311,726.42 and 123,917.19

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Solution

The fourth proportional to 225,892.65, 311,726.42 and 123,917.19 is: 171,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,892.65 : 311,726.42 = 123,917.19 : x
  2. Step 2: Convert to fraction form
    225,892.65/311,726.42 = 123,917.19/x
  3. Step 3: Cross multiply
    225,892.65x = 311,726.42 × 123,917.19
  4. Step 4: Simplify right side
    225,892.65x = 38,628,263,141.78
  5. Step 5: Solve for x
    x = 38,628,263,141.78/225,892.65
  6. Step 6: Final answer
    x = 171,002.75

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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.