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Finding the Fourth Proportional to 171,399.95, 257,157.21 and 82,642.97

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Solution

The fourth proportional to 171,399.95, 257,157.21 and 82,642.97 is: 123,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,399.95 : 257,157.21 = 82,642.97 : x
  2. Step 2: Convert to fraction form
    171,399.95/257,157.21 = 82,642.97/x
  3. Step 3: Cross multiply
    171,399.95x = 257,157.21 × 82,642.97
  4. Step 4: Simplify right side
    171,399.95x = 21,252,235,591.31
  5. Step 5: Solve for x
    x = 21,252,235,591.31/171,399.95
  6. Step 6: Final answer
    x = 123,992.08

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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.