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Finding the Fourth Proportional to 206,151.90, 309,227.85 and 159,495.90

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Solution

The fourth proportional to 206,151.90, 309,227.85 and 159,495.90 is: 239,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,151.90 : 309,227.85 = 159,495.90 : x
  2. Step 2: Convert to fraction form
    206,151.90/309,227.85 = 159,495.90/x
  3. Step 3: Cross multiply
    206,151.90x = 309,227.85 × 159,495.90
  4. Step 4: Simplify right side
    206,151.90x = 49,320,574,240.82
  5. Step 5: Solve for x
    x = 49,320,574,240.82/206,151.90
  6. Step 6: Final answer
    x = 239,243.85

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1.5x scale

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.