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Finding the Fourth Proportional to 221,537.82, 305,694.18 and 126,046.11

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Solution

The fourth proportional to 221,537.82, 305,694.18 and 126,046.11 is: 173,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,537.82 : 305,694.18 = 126,046.11 : x
  2. Step 2: Convert to fraction form
    221,537.82/305,694.18 = 126,046.11/x
  3. Step 3: Cross multiply
    221,537.82x = 305,694.18 × 126,046.11
  4. Step 4: Simplify right side
    221,537.82x = 38,531,562,238.64
  5. Step 5: Solve for x
    x = 38,531,562,238.64/221,537.82
  6. Step 6: Final answer
    x = 173,927.69

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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.