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Finding the Fourth Proportional to 185,708, 256,286.76 and 109,231.04

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Solution

The fourth proportional to 185,708, 256,286.76 and 109,231.04 is: 150,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,708 : 256,286.76 = 109,231.04 : x
  2. Step 2: Convert to fraction form
    185,708/256,286.76 = 109,231.04/x
  3. Step 3: Cross multiply
    185,708x = 256,286.76 × 109,231.04
  4. Step 4: Simplify right side
    185,708x = 27,994,469,333.03
  5. Step 5: Solve for x
    x = 27,994,469,333.03/185,708
  6. Step 6: Final answer
    x = 150,744.55

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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.