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Finding the Fourth Proportional to 223,729.88, 308,747.24 and 123,127.88

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Solution

The fourth proportional to 223,729.88, 308,747.24 and 123,127.88 is: 169,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,729.88 : 308,747.24 = 123,127.88 : x
  2. Step 2: Convert to fraction form
    223,729.88/308,747.24 = 123,127.88/x
  3. Step 3: Cross multiply
    223,729.88x = 308,747.24 × 123,127.88
  4. Step 4: Simplify right side
    223,729.88x = 38,015,393,117.05
  5. Step 5: Solve for x
    x = 38,015,393,117.05/223,729.88
  6. Step 6: Final answer
    x = 169,916.48

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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.