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Finding the Fourth Proportional to 223,279.21, 308,049.11 and 138,365.29

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Solution

The fourth proportional to 223,279.21, 308,049.11 and 138,365.29 is: 190,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,279.21 : 308,049.11 = 138,365.29 : x
  2. Step 2: Convert to fraction form
    223,279.21/308,049.11 = 138,365.29/x
  3. Step 3: Cross multiply
    223,279.21x = 308,049.11 × 138,365.29
  4. Step 4: Simplify right side
    223,279.21x = 42,623,303,747.57
  5. Step 5: Solve for x
    x = 42,623,303,747.57/223,279.21
  6. Step 6: Final answer
    x = 190,896.88

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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.