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Finding the Fourth Proportional to 223,716.49, 308,728.80 and 123,114.49

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Solution

The fourth proportional to 223,716.49, 308,728.80 and 123,114.49 is: 169,898.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,716.49 : 308,728.80 = 123,114.49 : x
  2. Step 2: Convert to fraction form
    223,716.49/308,728.80 = 123,114.49/x
  3. Step 3: Cross multiply
    223,716.49x = 308,728.80 × 123,114.49
  4. Step 4: Simplify right side
    223,716.49x = 38,008,988,760.31
  5. Step 5: Solve for x
    x = 38,008,988,760.31/223,716.49
  6. Step 6: Final answer
    x = 169,898.02

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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.