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Finding the Fourth Proportional to 206,462.60, 309,617.10 and 81,777.80

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Solution

The fourth proportional to 206,462.60, 309,617.10 and 81,777.80 is: 122,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,462.60 : 309,617.10 = 81,777.80 : x
  2. Step 2: Convert to fraction form
    206,462.60/309,617.10 = 81,777.80/x
  3. Step 3: Cross multiply
    206,462.60x = 309,617.10 × 81,777.80
  4. Step 4: Simplify right side
    206,462.60x = 25,319,805,280.38
  5. Step 5: Solve for x
    x = 25,319,805,280.38/206,462.60
  6. Step 6: Final answer
    x = 122,636.28

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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.