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Finding the Fourth Proportional to 225,756, 311,553 and 125,154

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Solution

The fourth proportional to 225,756, 311,553 and 125,154 is: 172,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,756 : 311,553 = 125,154 : x
  2. Step 2: Convert to fraction form
    225,756/311,553 = 125,154/x
  3. Step 3: Cross multiply
    225,756x = 311,553 × 125,154
  4. Step 4: Simplify right side
    225,756x = 38,992,104,162
  5. Step 5: Solve for x
    x = 38,992,104,162/225,756
  6. Step 6: Final answer
    x = 172,717.91

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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.