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Finding the Fourth Proportional to 171,677.97, 257,470.11 and 71,821.98

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Solution

The fourth proportional to 171,677.97, 257,470.11 and 71,821.98 is: 107,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,677.97 : 257,470.11 = 71,821.98 : x
  2. Step 2: Convert to fraction form
    171,677.97/257,470.11 = 71,821.98/x
  3. Step 3: Cross multiply
    171,677.97x = 257,470.11 × 71,821.98
  4. Step 4: Simplify right side
    171,677.97x = 18,492,013,091.02
  5. Step 5: Solve for x
    x = 18,492,013,091.02/171,677.97
  6. Step 6: Final answer
    x = 107,713.37

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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.