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Finding the Fourth Proportional to 171,146.31, 256,845.59 and 81,189.30

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Solution

The fourth proportional to 171,146.31, 256,845.59 and 81,189.30 is: 121,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,146.31 : 256,845.59 = 81,189.30 : x
  2. Step 2: Convert to fraction form
    171,146.31/256,845.59 = 81,189.30/x
  3. Step 3: Cross multiply
    171,146.31x = 256,845.59 × 81,189.30
  4. Step 4: Simplify right side
    171,146.31x = 20,853,113,660.19
  5. Step 5: Solve for x
    x = 20,853,113,660.19/171,146.31
  6. Step 6: Final answer
    x = 121,843.79

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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.