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Finding the Fourth Proportional to 208,821.08, 288,042 and 123,878

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Solution

The fourth proportional to 208,821.08, 288,042 and 123,878 is: 170,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,821.08 : 288,042 = 123,878 : x
  2. Step 2: Convert to fraction form
    208,821.08/288,042 = 123,878/x
  3. Step 3: Cross multiply
    208,821.08x = 288,042 × 123,878
  4. Step 4: Simplify right side
    208,821.08x = 35,682,066,876
  5. Step 5: Solve for x
    x = 35,682,066,876/208,821.08
  6. Step 6: Final answer
    x = 170,873.87

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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.