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Finding the Fourth Proportional to 223,814.97, 308,846.39 and 123,212.97

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Solution

The fourth proportional to 223,814.97, 308,846.39 and 123,212.97 is: 170,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,814.97 : 308,846.39 = 123,212.97 : x
  2. Step 2: Convert to fraction form
    223,814.97/308,846.39 = 123,212.97/x
  3. Step 3: Cross multiply
    223,814.97x = 308,846.39 × 123,212.97
  4. Step 4: Simplify right side
    223,814.97x = 38,053,880,369.61
  5. Step 5: Solve for x
    x = 38,053,880,369.61/223,814.97
  6. Step 6: Final answer
    x = 170,023.84

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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.