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Finding the Fourth Proportional to 206,608, 309,963.84 and 58,864

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Solution

The fourth proportional to 206,608, 309,963.84 and 58,864 is: 88,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,608 : 309,963.84 = 58,864 : x
  2. Step 2: Convert to fraction form
    206,608/309,963.84 = 58,864/x
  3. Step 3: Cross multiply
    206,608x = 309,963.84 × 58,864
  4. Step 4: Simplify right side
    206,608x = 18,245,711,477.76
  5. Step 5: Solve for x
    x = 18,245,711,477.76/206,608
  6. Step 6: Final answer
    x = 88,310.77

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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.