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Finding the Fourth Proportional to 149,909, 206,874.98 and 82,841

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Solution

The fourth proportional to 149,909, 206,874.98 and 82,841 is: 114,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,909 : 206,874.98 = 82,841 : x
  2. Step 2: Convert to fraction form
    149,909/206,874.98 = 82,841/x
  3. Step 3: Cross multiply
    149,909x = 206,874.98 × 82,841
  4. Step 4: Simplify right side
    149,909x = 17,137,730,218.18
  5. Step 5: Solve for x
    x = 17,137,730,218.18/149,909
  6. Step 6: Final answer
    x = 114,320.89

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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.