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Finding the Fourth Proportional to 206,351.78, 284,766.45 and 134,689.46

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Solution

The fourth proportional to 206,351.78, 284,766.45 and 134,689.46 is: 185,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,351.78 : 284,766.45 = 134,689.46 : x
  2. Step 2: Convert to fraction form
    206,351.78/284,766.45 = 134,689.46/x
  3. Step 3: Cross multiply
    206,351.78x = 284,766.45 × 134,689.46
  4. Step 4: Simplify right side
    206,351.78x = 38,355,039,376.62
  5. Step 5: Solve for x
    x = 38,355,039,376.62/206,351.78
  6. Step 6: Final answer
    x = 185,872.10

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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.