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Finding the Fourth Proportional to 203,201.32, 280,391.24 and 117,163.54

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Solution

The fourth proportional to 203,201.32, 280,391.24 and 117,163.54 is: 161,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,201.32 : 280,391.24 = 117,163.54 : x
  2. Step 2: Convert to fraction form
    203,201.32/280,391.24 = 117,163.54/x
  3. Step 3: Cross multiply
    203,201.32x = 280,391.24 × 117,163.54
  4. Step 4: Simplify right side
    203,201.32x = 32,851,630,263.39
  5. Step 5: Solve for x
    x = 32,851,630,263.39/203,201.32
  6. Step 6: Final answer
    x = 161,670.36

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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.