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Finding the Fourth Proportional to 206,262, 309,444.84 and 58,518

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Solution

The fourth proportional to 206,262, 309,444.84 and 58,518 is: 87,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,262 : 309,444.84 = 58,518 : x
  2. Step 2: Convert to fraction form
    206,262/309,444.84 = 58,518/x
  3. Step 3: Cross multiply
    206,262x = 309,444.84 × 58,518
  4. Step 4: Simplify right side
    206,262x = 18,108,093,147.12
  5. Step 5: Solve for x
    x = 18,108,093,147.12/206,262
  6. Step 6: Final answer
    x = 87,791.71

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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.