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Finding the Fourth Proportional to 225,830.30, 338,800.12 and 113,230.78

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Solution

The fourth proportional to 225,830.30, 338,800.12 and 113,230.78 is: 169,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,830.30 : 338,800.12 = 113,230.78 : x
  2. Step 2: Convert to fraction form
    225,830.30/338,800.12 = 113,230.78/x
  3. Step 3: Cross multiply
    225,830.30x = 338,800.12 × 113,230.78
  4. Step 4: Simplify right side
    225,830.30x = 38,362,600,721.62
  5. Step 5: Solve for x
    x = 38,362,600,721.62/225,830.30
  6. Step 6: Final answer
    x = 169,873.58

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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.