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Finding the Fourth Proportional to 171,218.70, 257,058.90 and 100,214.10

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Solution

The fourth proportional to 171,218.70, 257,058.90 and 100,214.10 is: 150,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,218.70 : 257,058.90 = 100,214.10 : x
  2. Step 2: Convert to fraction form
    171,218.70/257,058.90 = 100,214.10/x
  3. Step 3: Cross multiply
    171,218.70x = 257,058.90 × 100,214.10
  4. Step 4: Simplify right side
    171,218.70x = 25,760,926,310.49
  5. Step 5: Solve for x
    x = 25,760,926,310.49/171,218.70
  6. Step 6: Final answer
    x = 150,456.27

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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.