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Finding the Fourth Proportional to 206,871.90, 310,461.45 and 82,302.30

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Solution

The fourth proportional to 206,871.90, 310,461.45 and 82,302.30 is: 123,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871.90 : 310,461.45 = 82,302.30 : x
  2. Step 2: Convert to fraction form
    206,871.90/310,461.45 = 82,302.30/x
  3. Step 3: Cross multiply
    206,871.90x = 310,461.45 × 82,302.30
  4. Step 4: Simplify right side
    206,871.90x = 25,551,691,396.34
  5. Step 5: Solve for x
    x = 25,551,691,396.34/206,871.90
  6. Step 6: Final answer
    x = 123,514.56

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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.