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Finding the Fourth Proportional to 225,489.40, 311,171.96 and 123,514.04

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Solution

The fourth proportional to 225,489.40, 311,171.96 and 123,514.04 is: 170,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,489.40 : 311,171.96 = 123,514.04 : x
  2. Step 2: Convert to fraction form
    225,489.40/311,171.96 = 123,514.04/x
  3. Step 3: Cross multiply
    225,489.40x = 311,171.96 × 123,514.04
  4. Step 4: Simplify right side
    225,489.40x = 38,434,105,914.32
  5. Step 5: Solve for x
    x = 38,434,105,914.32/225,489.40
  6. Step 6: Final answer
    x = 170,447.51

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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.