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Finding the Fourth Proportional to 171,425.72, 257,304.42 and 82,741.64

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Solution

The fourth proportional to 171,425.72, 257,304.42 and 82,741.64 is: 124,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,425.72 : 257,304.42 = 82,741.64 : x
  2. Step 2: Convert to fraction form
    171,425.72/257,304.42 = 82,741.64/x
  3. Step 3: Cross multiply
    171,425.72x = 257,304.42 × 82,741.64
  4. Step 4: Simplify right side
    171,425.72x = 21,289,789,690.05
  5. Step 5: Solve for x
    x = 21,289,789,690.05/171,425.72
  6. Step 6: Final answer
    x = 124,192.51

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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.