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Finding the Fourth Proportional to 206,431, 309,698.54 and 58,687

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Solution

The fourth proportional to 206,431, 309,698.54 and 58,687 is: 88,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,431 : 309,698.54 = 58,687 : x
  2. Step 2: Convert to fraction form
    206,431/309,698.54 = 58,687/x
  3. Step 3: Cross multiply
    206,431x = 309,698.54 × 58,687
  4. Step 4: Simplify right side
    206,431x = 18,175,278,216.98
  5. Step 5: Solve for x
    x = 18,175,278,216.98/206,431
  6. Step 6: Final answer
    x = 88,045.29

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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.