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Finding the Fourth Proportional to 206,546.73, 309,425.14 and 139,658.55

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Solution

The fourth proportional to 206,546.73, 309,425.14 and 139,658.55 is: 209,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,546.73 : 309,425.14 = 139,658.55 : x
  2. Step 2: Convert to fraction form
    206,546.73/309,425.14 = 139,658.55/x
  3. Step 3: Cross multiply
    206,546.73x = 309,425.14 × 139,658.55
  4. Step 4: Simplify right side
    206,546.73x = 43,213,866,385.95
  5. Step 5: Solve for x
    x = 43,213,866,385.95/206,546.73
  6. Step 6: Final answer
    x = 209,220.77

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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.