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Finding the Fourth Proportional to 171,905.82, 257,911.55 and 82,063.19

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Solution

The fourth proportional to 171,905.82, 257,911.55 and 82,063.19 is: 123,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,905.82 : 257,911.55 = 82,063.19 : x
  2. Step 2: Convert to fraction form
    171,905.82/257,911.55 = 82,063.19/x
  3. Step 3: Cross multiply
    171,905.82x = 257,911.55 × 82,063.19
  4. Step 4: Simplify right side
    171,905.82x = 21,165,042,830.97
  5. Step 5: Solve for x
    x = 21,165,042,830.97/171,905.82
  6. Step 6: Final answer
    x = 123,119.99

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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.