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Finding the Fourth Proportional to 206,613, 309,971.52 and 58,869

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Solution

The fourth proportional to 206,613, 309,971.52 and 58,869 is: 88,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,613 : 309,971.52 = 58,869 : x
  2. Step 2: Convert to fraction form
    206,613/309,971.52 = 58,869/x
  3. Step 3: Cross multiply
    206,613x = 309,971.52 × 58,869
  4. Step 4: Simplify right side
    206,613x = 18,247,713,410.88
  5. Step 5: Solve for x
    x = 18,247,713,410.88/206,613
  6. Step 6: Final answer
    x = 88,318.32

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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.