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Finding the Fourth Proportional to 213,260, 294,324.80 and 123,836

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Solution

The fourth proportional to 213,260, 294,324.80 and 123,836 is: 170,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,260 : 294,324.80 = 123,836 : x
  2. Step 2: Convert to fraction form
    213,260/294,324.80 = 123,836/x
  3. Step 3: Cross multiply
    213,260x = 294,324.80 × 123,836
  4. Step 4: Simplify right side
    213,260x = 36,448,005,932.80
  5. Step 5: Solve for x
    x = 36,448,005,932.80/213,260
  6. Step 6: Final answer
    x = 170,908.78

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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.