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Finding the Fourth Proportional to 259,293, 388,939.50 and 84,189

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Solution

The fourth proportional to 259,293, 388,939.50 and 84,189 is: 126,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,293 : 388,939.50 = 84,189 : x
  2. Step 2: Convert to fraction form
    259,293/388,939.50 = 84,189/x
  3. Step 3: Cross multiply
    259,293x = 388,939.50 × 84,189
  4. Step 4: Simplify right side
    259,293x = 32,744,427,565.50
  5. Step 5: Solve for x
    x = 32,744,427,565.50/259,293
  6. Step 6: Final answer
    x = 126,283.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.