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Finding the Fourth Proportional to 171,434, 257,317.28 and 82,750

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Solution

The fourth proportional to 171,434, 257,317.28 and 82,750 is: 124,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,434 : 257,317.28 = 82,750 : x
  2. Step 2: Convert to fraction form
    171,434/257,317.28 = 82,750/x
  3. Step 3: Cross multiply
    171,434x = 257,317.28 × 82,750
  4. Step 4: Simplify right side
    171,434x = 21,293,004,920
  5. Step 5: Solve for x
    x = 21,293,004,920/171,434
  6. Step 6: Final answer
    x = 124,205.26

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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.