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Finding the Fourth Proportional to 225,846, 338,924.52 and 78,102

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Solution

The fourth proportional to 225,846, 338,924.52 and 78,102 is: 117,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,846 : 338,924.52 = 78,102 : x
  2. Step 2: Convert to fraction form
    225,846/338,924.52 = 78,102/x
  3. Step 3: Cross multiply
    225,846x = 338,924.52 × 78,102
  4. Step 4: Simplify right side
    225,846x = 26,470,682,861.04
  5. Step 5: Solve for x
    x = 26,470,682,861.04/225,846
  6. Step 6: Final answer
    x = 117,206.78

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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.