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Finding the Fourth Proportional to 206,476.92, 309,686.16 and 66,217.32

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Solution

The fourth proportional to 206,476.92, 309,686.16 and 66,217.32 is: 99,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,476.92 : 309,686.16 = 66,217.32 : x
  2. Step 2: Convert to fraction form
    206,476.92/309,686.16 = 66,217.32/x
  3. Step 3: Cross multiply
    206,476.92x = 309,686.16 × 66,217.32
  4. Step 4: Simplify right side
    206,476.92x = 20,506,587,556.29
  5. Step 5: Solve for x
    x = 20,506,587,556.29/206,476.92
  6. Step 6: Final answer
    x = 99,316.61

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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.