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Finding the Fourth Proportional to 206,788.27, 285,334.25 and 129,254.74

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Solution

The fourth proportional to 206,788.27, 285,334.25 and 129,254.74 is: 178,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,788.27 : 285,334.25 = 129,254.74 : x
  2. Step 2: Convert to fraction form
    206,788.27/285,334.25 = 129,254.74/x
  3. Step 3: Cross multiply
    206,788.27x = 285,334.25 × 129,254.74
  4. Step 4: Simplify right side
    206,788.27x = 36,880,803,906.65
  5. Step 5: Solve for x
    x = 36,880,803,906.65/206,788.27
  6. Step 6: Final answer
    x = 178,350.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.