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Finding the Fourth Proportional to 206,727.73, 309,894.76 and 66,387.94

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Solution

The fourth proportional to 206,727.73, 309,894.76 and 66,387.94 is: 99,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,727.73 : 309,894.76 = 66,387.94 : x
  2. Step 2: Convert to fraction form
    206,727.73/309,894.76 = 66,387.94/x
  3. Step 3: Cross multiply
    206,727.73x = 309,894.76 × 66,387.94
  4. Step 4: Simplify right side
    206,727.73x = 20,573,274,041.44
  5. Step 5: Solve for x
    x = 20,573,274,041.44/206,727.73
  6. Step 6: Final answer
    x = 99,518.70

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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.