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Finding the Fourth Proportional to 171,141.40, 256,493.40 and 82,203.40

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Solution

The fourth proportional to 171,141.40, 256,493.40 and 82,203.40 is: 123,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,141.40 : 256,493.40 = 82,203.40 : x
  2. Step 2: Convert to fraction form
    171,141.40/256,493.40 = 82,203.40/x
  3. Step 3: Cross multiply
    171,141.40x = 256,493.40 × 82,203.40
  4. Step 4: Simplify right side
    171,141.40x = 21,084,629,557.56
  5. Step 5: Solve for x
    x = 21,084,629,557.56/171,141.40
  6. Step 6: Final answer
    x = 123,200.05

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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.