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Finding the Fourth Proportional to 171,899.65, 257,902.26 and 82,057.01

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Solution

The fourth proportional to 171,899.65, 257,902.26 and 82,057.01 is: 123,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,899.65 : 257,902.26 = 82,057.01 : x
  2. Step 2: Convert to fraction form
    171,899.65/257,902.26 = 82,057.01/x
  3. Step 3: Cross multiply
    171,899.65x = 257,902.26 × 82,057.01
  4. Step 4: Simplify right side
    171,899.65x = 21,162,688,327.84
  5. Step 5: Solve for x
    x = 21,162,688,327.84/171,899.65
  6. Step 6: Final answer
    x = 123,110.71

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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.