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Finding the Fourth Proportional to 221,542.22, 305,724.32 and 126,046.88

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Solution

The fourth proportional to 221,542.22, 305,724.32 and 126,046.88 is: 173,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,542.22 : 305,724.32 = 126,046.88 : x
  2. Step 2: Convert to fraction form
    221,542.22/305,724.32 = 126,046.88/x
  3. Step 3: Cross multiply
    221,542.22x = 305,724.32 × 126,046.88
  4. Step 4: Simplify right side
    221,542.22x = 38,535,596,676.12
  5. Step 5: Solve for x
    x = 38,535,596,676.12/221,542.22
  6. Step 6: Final answer
    x = 173,942.45

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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.