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Finding the Fourth Proportional to 171,412.39, 257,284.43 and 82,728.33

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Solution

The fourth proportional to 171,412.39, 257,284.43 and 82,728.33 is: 124,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,412.39 : 257,284.43 = 82,728.33 : x
  2. Step 2: Convert to fraction form
    171,412.39/257,284.43 = 82,728.33/x
  3. Step 3: Cross multiply
    171,412.39x = 257,284.43 × 82,728.33
  4. Step 4: Simplify right side
    171,412.39x = 21,284,711,228.90
  5. Step 5: Solve for x
    x = 21,284,711,228.90/171,412.39
  6. Step 6: Final answer
    x = 124,172.54

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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.