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Finding the Fourth Proportional to 203,661.94, 281,034.85 and 120,861.67

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Solution

The fourth proportional to 203,661.94, 281,034.85 and 120,861.67 is: 166,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,661.94 : 281,034.85 = 120,861.67 : x
  2. Step 2: Convert to fraction form
    203,661.94/281,034.85 = 120,861.67/x
  3. Step 3: Cross multiply
    203,661.94x = 281,034.85 × 120,861.67
  4. Step 4: Simplify right side
    203,661.94x = 33,966,341,299.20
  5. Step 5: Solve for x
    x = 33,966,341,299.20/203,661.94
  6. Step 6: Final answer
    x = 166,778.05

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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.