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Finding the Fourth Proportional to 171,071.29, 256,650.68 and 71,198.29

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Solution

The fourth proportional to 171,071.29, 256,650.68 and 71,198.29 is: 106,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,071.29 : 256,650.68 = 71,198.29 : x
  2. Step 2: Convert to fraction form
    171,071.29/256,650.68 = 71,198.29/x
  3. Step 3: Cross multiply
    171,071.29x = 256,650.68 × 71,198.29
  4. Step 4: Simplify right side
    171,071.29x = 18,273,089,543.34
  5. Step 5: Solve for x
    x = 18,273,089,543.34/171,071.29
  6. Step 6: Final answer
    x = 106,815.64

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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.