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Finding the Fourth Proportional to 206,138.92, 309,011.53 and 65,806.42

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Solution

The fourth proportional to 206,138.92, 309,011.53 and 65,806.42 is: 98,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,138.92 : 309,011.53 = 65,806.42 : x
  2. Step 2: Convert to fraction form
    206,138.92/309,011.53 = 65,806.42/x
  3. Step 3: Cross multiply
    206,138.92x = 309,011.53 × 65,806.42
  4. Step 4: Simplify right side
    206,138.92x = 20,334,942,528.02
  5. Step 5: Solve for x
    x = 20,334,942,528.02/206,138.92
  6. Step 6: Final answer
    x = 98,646.79

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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.