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Finding the Fourth Proportional to 171,213.30, 256,867.20 and 71,420.40

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Solution

The fourth proportional to 171,213.30, 256,867.20 and 71,420.40 is: 107,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,213.30 : 256,867.20 = 71,420.40 : x
  2. Step 2: Convert to fraction form
    171,213.30/256,867.20 = 71,420.40/x
  3. Step 3: Cross multiply
    171,213.30x = 256,867.20 × 71,420.40
  4. Step 4: Simplify right side
    171,213.30x = 18,345,558,170.88
  5. Step 5: Solve for x
    x = 18,345,558,170.88/171,213.30
  6. Step 6: Final answer
    x = 107,150.31

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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.