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Finding the Fourth Proportional to 223,888.50, 308,966.13 and 123,286.50

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Solution

The fourth proportional to 223,888.50, 308,966.13 and 123,286.50 is: 170,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,888.50 : 308,966.13 = 123,286.50 : x
  2. Step 2: Convert to fraction form
    223,888.50/308,966.13 = 123,286.50/x
  3. Step 3: Cross multiply
    223,888.50x = 308,966.13 × 123,286.50
  4. Step 4: Simplify right side
    223,888.50x = 38,091,352,786.25
  5. Step 5: Solve for x
    x = 38,091,352,786.25/223,888.50
  6. Step 6: Final answer
    x = 170,135.37

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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.