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Finding the Fourth Proportional to 225,930.12, 311,791.86 and 136,488.84

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Solution

The fourth proportional to 225,930.12, 311,791.86 and 136,488.84 is: 188,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,930.12 : 311,791.86 = 136,488.84 : x
  2. Step 2: Convert to fraction form
    225,930.12/311,791.86 = 136,488.84/x
  3. Step 3: Cross multiply
    225,930.12x = 311,791.86 × 136,488.84
  4. Step 4: Simplify right side
    225,930.12x = 42,556,109,292.84
  5. Step 5: Solve for x
    x = 42,556,109,292.84/225,930.12
  6. Step 6: Final answer
    x = 188,359.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.