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Finding the Fourth Proportional to 225,934.92, 311,779.67 and 123,958.08

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Solution

The fourth proportional to 225,934.92, 311,779.67 and 123,958.08 is: 171,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,934.92 : 311,779.67 = 123,958.08 : x
  2. Step 2: Convert to fraction form
    225,934.92/311,779.67 = 123,958.08/x
  3. Step 3: Cross multiply
    225,934.92x = 311,779.67 × 123,958.08
  4. Step 4: Simplify right side
    225,934.92x = 38,647,608,656.44
  5. Step 5: Solve for x
    x = 38,647,608,656.44/225,934.92
  6. Step 6: Final answer
    x = 171,056.38

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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.