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Finding the Fourth Proportional to 205,548.72, 308,343.60 and 55,791.42

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Solution

The fourth proportional to 205,548.72, 308,343.60 and 55,791.42 is: 83,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,548.72 : 308,343.60 = 55,791.42 : x
  2. Step 2: Convert to fraction form
    205,548.72/308,343.60 = 55,791.42/x
  3. Step 3: Cross multiply
    205,548.72x = 308,343.60 × 55,791.42
  4. Step 4: Simplify right side
    205,548.72x = 17,202,927,291.91
  5. Step 5: Solve for x
    x = 17,202,927,291.91/205,548.72
  6. Step 6: Final answer
    x = 83,692.70

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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.