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Finding the Fourth Proportional to 171,384.80, 257,101.12 and 71,522.11

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Solution

The fourth proportional to 171,384.80, 257,101.12 and 71,522.11 is: 107,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,384.80 : 257,101.12 = 71,522.11 : x
  2. Step 2: Convert to fraction form
    171,384.80/257,101.12 = 71,522.11/x
  3. Step 3: Cross multiply
    171,384.80x = 257,101.12 × 71,522.11
  4. Step 4: Simplify right side
    171,384.80x = 18,388,414,996.54
  5. Step 5: Solve for x
    x = 18,388,414,996.54/171,384.80
  6. Step 6: Final answer
    x = 107,293.15

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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.