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Finding the Fourth Proportional to 223,638, 308,620.44 and 123,033.84

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Solution

The fourth proportional to 223,638, 308,620.44 and 123,033.84 is: 169,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,638 : 308,620.44 = 123,033.84 : x
  2. Step 2: Convert to fraction form
    223,638/308,620.44 = 123,033.84/x
  3. Step 3: Cross multiply
    223,638x = 308,620.44 × 123,033.84
  4. Step 4: Simplify right side
    223,638x = 37,970,757,835.69
  5. Step 5: Solve for x
    x = 37,970,757,835.69/223,638
  6. Step 6: Final answer
    x = 169,786.70

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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.