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Finding the Fourth Proportional to 225,939, 338,908.50 and 78,195

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Solution

The fourth proportional to 225,939, 338,908.50 and 78,195 is: 117,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,939 : 338,908.50 = 78,195 : x
  2. Step 2: Convert to fraction form
    225,939/338,908.50 = 78,195/x
  3. Step 3: Cross multiply
    225,939x = 338,908.50 × 78,195
  4. Step 4: Simplify right side
    225,939x = 26,500,950,157.50
  5. Step 5: Solve for x
    x = 26,500,950,157.50/225,939
  6. Step 6: Final answer
    x = 117,292.50

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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.