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Finding the Fourth Proportional to 208,536.78, 312,805.23 and 75,414.06

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Solution

The fourth proportional to 208,536.78, 312,805.23 and 75,414.06 is: 113,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,536.78 : 312,805.23 = 75,414.06 : x
  2. Step 2: Convert to fraction form
    208,536.78/312,805.23 = 75,414.06/x
  3. Step 3: Cross multiply
    208,536.78x = 312,805.23 × 75,414.06
  4. Step 4: Simplify right side
    208,536.78x = 23,589,912,383.53
  5. Step 5: Solve for x
    x = 23,589,912,383.53/208,536.78
  6. Step 6: Final answer
    x = 113,121.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.