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Finding the Fourth Proportional to 171,414.98, 257,163.55 and 71,519.66

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Solution

The fourth proportional to 171,414.98, 257,163.55 and 71,519.66 is: 107,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,414.98 : 257,163.55 = 71,519.66 : x
  2. Step 2: Convert to fraction form
    171,414.98/257,163.55 = 71,519.66/x
  3. Step 3: Cross multiply
    171,414.98x = 257,163.55 × 71,519.66
  4. Step 4: Simplify right side
    171,414.98x = 18,392,248,374.58
  5. Step 5: Solve for x
    x = 18,392,248,374.58/171,414.98
  6. Step 6: Final answer
    x = 107,296.62

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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.