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Finding the Fourth Proportional to 223,888, 308,965.44 and 123,286

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Solution

The fourth proportional to 223,888, 308,965.44 and 123,286 is: 170,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,888 : 308,965.44 = 123,286 : x
  2. Step 2: Convert to fraction form
    223,888/308,965.44 = 123,286/x
  3. Step 3: Cross multiply
    223,888x = 308,965.44 × 123,286
  4. Step 4: Simplify right side
    223,888x = 38,091,113,235.84
  5. Step 5: Solve for x
    x = 38,091,113,235.84/223,888
  6. Step 6: Final answer
    x = 170,134.68

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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.