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Finding the Fourth Proportional to 206,358.36, 309,122.82 and 107,655

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Solution

The fourth proportional to 206,358.36, 309,122.82 and 107,655 is: 161,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,358.36 : 309,122.82 = 107,655 : x
  2. Step 2: Convert to fraction form
    206,358.36/309,122.82 = 107,655/x
  3. Step 3: Cross multiply
    206,358.36x = 309,122.82 × 107,655
  4. Step 4: Simplify right side
    206,358.36x = 33,278,617,187.10
  5. Step 5: Solve for x
    x = 33,278,617,187.10/206,358.36
  6. Step 6: Final answer
    x = 161,266.14

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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.