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Finding the Fourth Proportional to 213,489.84, 294,616.26 and 122,844

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Solution

The fourth proportional to 213,489.84, 294,616.26 and 122,844 is: 169,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,489.84 : 294,616.26 = 122,844 : x
  2. Step 2: Convert to fraction form
    213,489.84/294,616.26 = 122,844/x
  3. Step 3: Cross multiply
    213,489.84x = 294,616.26 × 122,844
  4. Step 4: Simplify right side
    213,489.84x = 36,191,839,843.44
  5. Step 5: Solve for x
    x = 36,191,839,843.44/213,489.84
  6. Step 6: Final answer
    x = 169,524.88

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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.