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Finding the Fourth Proportional to 225,868, 338,809.02 and 83,748.64

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Solution

The fourth proportional to 225,868, 338,809.02 and 83,748.64 is: 125,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,868 : 338,809.02 = 83,748.64 : x
  2. Step 2: Convert to fraction form
    225,868/338,809.02 = 83,748.64/x
  3. Step 3: Cross multiply
    225,868x = 338,809.02 × 83,748.64
  4. Step 4: Simplify right side
    225,868x = 28,374,794,644.73
  5. Step 5: Solve for x
    x = 28,374,794,644.73/225,868
  6. Step 6: Final answer
    x = 125,625.56

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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.