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Finding the Fourth Proportional to 185,706, 256,284 and 109,229.04

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Solution

The fourth proportional to 185,706, 256,284 and 109,229.04 is: 150,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,706 : 256,284 = 109,229.04 : x
  2. Step 2: Convert to fraction form
    185,706/256,284 = 109,229.04/x
  3. Step 3: Cross multiply
    185,706x = 256,284 × 109,229.04
  4. Step 4: Simplify right side
    185,706x = 27,993,655,287.36
  5. Step 5: Solve for x
    x = 27,993,655,287.36/185,706
  6. Step 6: Final answer
    x = 150,741.79

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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.