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Finding the Fourth Proportional to 171,274.68, 256,579.56 and 126,214.26

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Solution

The fourth proportional to 171,274.68, 256,579.56 and 126,214.26 is: 189,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,274.68 : 256,579.56 = 126,214.26 : x
  2. Step 2: Convert to fraction form
    171,274.68/256,579.56 = 126,214.26/x
  3. Step 3: Cross multiply
    171,274.68x = 256,579.56 × 126,214.26
  4. Step 4: Simplify right side
    171,274.68x = 32,383,999,296.53
  5. Step 5: Solve for x
    x = 32,383,999,296.53/171,274.68
  6. Step 6: Final answer
    x = 189,076.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.