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Finding the Fourth Proportional to 171,694.40, 257,541.60 and 71,821.40

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Solution

The fourth proportional to 171,694.40, 257,541.60 and 71,821.40 is: 107,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,694.40 : 257,541.60 = 71,821.40 : x
  2. Step 2: Convert to fraction form
    171,694.40/257,541.60 = 71,821.40/x
  3. Step 3: Cross multiply
    171,694.40x = 257,541.60 × 71,821.40
  4. Step 4: Simplify right side
    171,694.40x = 18,496,998,270.24
  5. Step 5: Solve for x
    x = 18,496,998,270.24/171,694.40
  6. Step 6: Final answer
    x = 107,732.10

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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.