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Finding the Fourth Proportional to 223,906.86, 308,977.38 and 123,304.86

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Solution

The fourth proportional to 223,906.86, 308,977.38 and 123,304.86 is: 170,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,906.86 : 308,977.38 = 123,304.86 : x
  2. Step 2: Convert to fraction form
    223,906.86/308,977.38 = 123,304.86/x
  3. Step 3: Cross multiply
    223,906.86x = 308,977.38 × 123,304.86
  4. Step 4: Simplify right side
    223,906.86x = 38,098,412,584.07
  5. Step 5: Solve for x
    x = 38,098,412,584.07/223,906.86
  6. Step 6: Final answer
    x = 170,152.95

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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.