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Finding the Fourth Proportional to 206,452.98, 309,605.09 and 71,480.40

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Solution

The fourth proportional to 206,452.98, 309,605.09 and 71,480.40 is: 107,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,452.98 : 309,605.09 = 71,480.40 : x
  2. Step 2: Convert to fraction form
    206,452.98/309,605.09 = 71,480.40/x
  3. Step 3: Cross multiply
    206,452.98x = 309,605.09 × 71,480.40
  4. Step 4: Simplify right side
    206,452.98x = 22,130,695,675.24
  5. Step 5: Solve for x
    x = 22,130,695,675.24/206,452.98
  6. Step 6: Final answer
    x = 107,194.85

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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.