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Finding the Fourth Proportional to 225,889.92, 338,924.16 and 85,685.76

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Solution

The fourth proportional to 225,889.92, 338,924.16 and 85,685.76 is: 128,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,889.92 : 338,924.16 = 85,685.76 : x
  2. Step 2: Convert to fraction form
    225,889.92/338,924.16 = 85,685.76/x
  3. Step 3: Cross multiply
    225,889.92x = 338,924.16 × 85,685.76
  4. Step 4: Simplify right side
    225,889.92x = 29,040,974,231.96
  5. Step 5: Solve for x
    x = 29,040,974,231.96/225,889.92
  6. Step 6: Final answer
    x = 128,562.51

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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.