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Finding the Fourth Proportional to 206,618.45, 309,661.26 and 99,977.34

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Solution

The fourth proportional to 206,618.45, 309,661.26 and 99,977.34 is: 149,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,618.45 : 309,661.26 = 99,977.34 : x
  2. Step 2: Convert to fraction form
    206,618.45/309,661.26 = 99,977.34/x
  3. Step 3: Cross multiply
    206,618.45x = 309,661.26 × 99,977.34
  4. Step 4: Simplify right side
    206,618.45x = 30,959,108,471.80
  5. Step 5: Solve for x
    x = 30,959,108,471.80/206,618.45
  6. Step 6: Final answer
    x = 149,837.10

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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.