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Finding the Fourth Proportional to 206,382.44, 284,810.78 and 120,339.08

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Solution

The fourth proportional to 206,382.44, 284,810.78 and 120,339.08 is: 166,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,382.44 : 284,810.78 = 120,339.08 : x
  2. Step 2: Convert to fraction form
    206,382.44/284,810.78 = 120,339.08/x
  3. Step 3: Cross multiply
    206,382.44x = 284,810.78 × 120,339.08
  4. Step 4: Simplify right side
    206,382.44x = 34,273,867,239.28
  5. Step 5: Solve for x
    x = 34,273,867,239.28/206,382.44
  6. Step 6: Final answer
    x = 166,069.69

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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.