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Finding the Fourth Proportional to 206,791.19, 285,351.68 and 116,126.54

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Solution

The fourth proportional to 206,791.19, 285,351.68 and 116,126.54 is: 160,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,791.19 : 285,351.68 = 116,126.54 : x
  2. Step 2: Convert to fraction form
    206,791.19/285,351.68 = 116,126.54/x
  3. Step 3: Cross multiply
    206,791.19x = 285,351.68 × 116,126.54
  4. Step 4: Simplify right side
    206,791.19x = 33,136,901,274.20
  5. Step 5: Solve for x
    x = 33,136,901,274.20/206,791.19
  6. Step 6: Final answer
    x = 160,243.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.