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Finding the Fourth Proportional to 225,884.21, 311,723.10 and 123,903

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Solution

The fourth proportional to 225,884.21, 311,723.10 and 123,903 is: 170,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,884.21 : 311,723.10 = 123,903 : x
  2. Step 2: Convert to fraction form
    225,884.21/311,723.10 = 123,903/x
  3. Step 3: Cross multiply
    225,884.21x = 311,723.10 × 123,903
  4. Step 4: Simplify right side
    225,884.21x = 38,623,427,259.30
  5. Step 5: Solve for x
    x = 38,623,427,259.30/225,884.21
  6. Step 6: Final answer
    x = 170,987.73

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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.