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Finding the Fourth Proportional to 257,647.41, 386,076.97 and 137,721.42

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Solution

The fourth proportional to 257,647.41, 386,076.97 and 137,721.42 is: 206,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,647.41 : 386,076.97 = 137,721.42 : x
  2. Step 2: Convert to fraction form
    257,647.41/386,076.97 = 137,721.42/x
  3. Step 3: Cross multiply
    257,647.41x = 386,076.97 × 137,721.42
  4. Step 4: Simplify right side
    257,647.41x = 53,171,068,537.70
  5. Step 5: Solve for x
    x = 53,171,068,537.70/257,647.41
  6. Step 6: Final answer
    x = 206,371.45

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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.