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Finding the Fourth Proportional to 171,817.78, 257,827.10 and 71,969.48

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Solution

The fourth proportional to 171,817.78, 257,827.10 and 71,969.48 is: 107,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,817.78 : 257,827.10 = 71,969.48 : x
  2. Step 2: Convert to fraction form
    171,817.78/257,827.10 = 71,969.48/x
  3. Step 3: Cross multiply
    171,817.78x = 257,827.10 × 71,969.48
  4. Step 4: Simplify right side
    171,817.78x = 18,555,682,316.91
  5. Step 5: Solve for x
    x = 18,555,682,316.91/171,817.78
  6. Step 6: Final answer
    x = 107,996.29

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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.