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Finding the Fourth Proportional to 203,173.52, 280,518 and 126,722.48

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Solution

The fourth proportional to 203,173.52, 280,518 and 126,722.48 is: 174,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,173.52 : 280,518 = 126,722.48 : x
  2. Step 2: Convert to fraction form
    203,173.52/280,518 = 126,722.48/x
  3. Step 3: Cross multiply
    203,173.52x = 280,518 × 126,722.48
  4. Step 4: Simplify right side
    203,173.52x = 35,547,936,644.64
  5. Step 5: Solve for x
    x = 35,547,936,644.64/203,173.52
  6. Step 6: Final answer
    x = 174,963.43

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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.