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Finding the Fourth Proportional to 225,937, 338,905.50 and 78,193

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Solution

The fourth proportional to 225,937, 338,905.50 and 78,193 is: 117,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,937 : 338,905.50 = 78,193 : x
  2. Step 2: Convert to fraction form
    225,937/338,905.50 = 78,193/x
  3. Step 3: Cross multiply
    225,937x = 338,905.50 × 78,193
  4. Step 4: Simplify right side
    225,937x = 26,500,037,761.50
  5. Step 5: Solve for x
    x = 26,500,037,761.50/225,937
  6. Step 6: Final answer
    x = 117,289.50

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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.