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Finding the Fourth Proportional to 206,407, 309,625.08 and 81,748

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Solution

The fourth proportional to 206,407, 309,625.08 and 81,748 is: 122,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,407 : 309,625.08 = 81,748 : x
  2. Step 2: Convert to fraction form
    206,407/309,625.08 = 81,748/x
  3. Step 3: Cross multiply
    206,407x = 309,625.08 × 81,748
  4. Step 4: Simplify right side
    206,407x = 25,311,231,039.84
  5. Step 5: Solve for x
    x = 25,311,231,039.84/206,407
  6. Step 6: Final answer
    x = 122,627.77

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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.