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Finding the Fourth Proportional to 206,442, 309,715 and 58,698

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Solution

The fourth proportional to 206,442, 309,715 and 58,698 is: 88,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,442 : 309,715 = 58,698 : x
  2. Step 2: Convert to fraction form
    206,442/309,715 = 58,698/x
  3. Step 3: Cross multiply
    206,442x = 309,715 × 58,698
  4. Step 4: Simplify right side
    206,442x = 18,179,651,070
  5. Step 5: Solve for x
    x = 18,179,651,070/206,442
  6. Step 6: Final answer
    x = 88,061.79

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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.