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Finding the Fourth Proportional to 171,955.23, 257,984.09 and 82,065.42

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Solution

The fourth proportional to 171,955.23, 257,984.09 and 82,065.42 is: 123,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,955.23 : 257,984.09 = 82,065.42 : x
  2. Step 2: Convert to fraction form
    171,955.23/257,984.09 = 82,065.42/x
  3. Step 3: Cross multiply
    171,955.23x = 257,984.09 × 82,065.42
  4. Step 4: Simplify right side
    171,955.23x = 21,171,572,288.84
  5. Step 5: Solve for x
    x = 21,171,572,288.84/171,955.23
  6. Step 6: Final answer
    x = 123,122.58

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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.