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Finding the Fourth Proportional to 206,767, 285,202.38 and 149,310.64

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Solution

The fourth proportional to 206,767, 285,202.38 and 149,310.64 is: 205,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,767 : 285,202.38 = 149,310.64 : x
  2. Step 2: Convert to fraction form
    206,767/285,202.38 = 149,310.64/x
  3. Step 3: Cross multiply
    206,767x = 285,202.38 × 149,310.64
  4. Step 4: Simplify right side
    206,767x = 42,583,749,887.32
  5. Step 5: Solve for x
    x = 42,583,749,887.32/206,767
  6. Step 6: Final answer
    x = 205,950.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.