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Finding the Fourth Proportional to 149,325, 206,068.50 and 82,257

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Solution

The fourth proportional to 149,325, 206,068.50 and 82,257 is: 113,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,325 : 206,068.50 = 82,257 : x
  2. Step 2: Convert to fraction form
    149,325/206,068.50 = 82,257/x
  3. Step 3: Cross multiply
    149,325x = 206,068.50 × 82,257
  4. Step 4: Simplify right side
    149,325x = 16,950,576,604.50
  5. Step 5: Solve for x
    x = 16,950,576,604.50/149,325
  6. Step 6: Final answer
    x = 113,514.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.