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Finding the Fourth Proportional to 203,473.10, 305,147.24 and 140,696.60

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Solution

The fourth proportional to 203,473.10, 305,147.24 and 140,696.60 is: 211,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,473.10 : 305,147.24 = 140,696.60 : x
  2. Step 2: Convert to fraction form
    203,473.10/305,147.24 = 140,696.60/x
  3. Step 3: Cross multiply
    203,473.10x = 305,147.24 × 140,696.60
  4. Step 4: Simplify right side
    203,473.10x = 42,933,179,167.38
  5. Step 5: Solve for x
    x = 42,933,179,167.38/203,473.10
  6. Step 6: Final answer
    x = 211,001.75

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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.