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Finding the Fourth Proportional to 206,518.28, 285,285.58 and 159,377.49

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Solution

The fourth proportional to 206,518.28, 285,285.58 and 159,377.49 is: 220,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.28 : 285,285.58 = 159,377.49 : x
  2. Step 2: Convert to fraction form
    206,518.28/285,285.58 = 159,377.49/x
  3. Step 3: Cross multiply
    206,518.28x = 285,285.58 × 159,377.49
  4. Step 4: Simplify right side
    206,518.28x = 45,468,099,275.15
  5. Step 5: Solve for x
    x = 45,468,099,275.15/206,518.28
  6. Step 6: Final answer
    x = 220,165.02

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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.