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Finding the Fourth Proportional to 263,652.78, 363,839.04 and 142,791.42

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Solution

The fourth proportional to 263,652.78, 363,839.04 and 142,791.42 is: 197,051.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,652.78 : 363,839.04 = 142,791.42 : x
  2. Step 2: Convert to fraction form
    263,652.78/363,839.04 = 142,791.42/x
  3. Step 3: Cross multiply
    263,652.78x = 363,839.04 × 142,791.42
  4. Step 4: Simplify right side
    263,652.78x = 51,953,093,173.04
  5. Step 5: Solve for x
    x = 51,953,093,173.04/263,652.78
  6. Step 6: Final answer
    x = 197,051.19

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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.