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Finding the Fourth Proportional to 206,922.30, 309,856.41 and 136,586.94

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Solution

The fourth proportional to 206,922.30, 309,856.41 and 136,586.94 is: 204,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,922.30 : 309,856.41 = 136,586.94 : x
  2. Step 2: Convert to fraction form
    206,922.30/309,856.41 = 136,586.94/x
  3. Step 3: Cross multiply
    206,922.30x = 309,856.41 × 136,586.94
  4. Step 4: Simplify right side
    206,922.30x = 42,322,338,881.29
  5. Step 5: Solve for x
    x = 42,322,338,881.29/206,922.30
  6. Step 6: Final answer
    x = 204,532.52

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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.