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Finding the Fourth Proportional to 221,787.98, 306,067.10 and 126,294.70

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Solution

The fourth proportional to 221,787.98, 306,067.10 and 126,294.70 is: 174,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,787.98 : 306,067.10 = 126,294.70 : x
  2. Step 2: Convert to fraction form
    221,787.98/306,067.10 = 126,294.70/x
  3. Step 3: Cross multiply
    221,787.98x = 306,067.10 × 126,294.70
  4. Step 4: Simplify right side
    221,787.98x = 38,654,652,574.37
  5. Step 5: Solve for x
    x = 38,654,652,574.37/221,787.98
  6. Step 6: Final answer
    x = 174,286.51

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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.