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Finding the Fourth Proportional to 201,861.40, 278,601.48 and 117,027.52

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Solution

The fourth proportional to 201,861.40, 278,601.48 and 117,027.52 is: 161,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,861.40 : 278,601.48 = 117,027.52 : x
  2. Step 2: Convert to fraction form
    201,861.40/278,601.48 = 117,027.52/x
  3. Step 3: Cross multiply
    201,861.40x = 278,601.48 × 117,027.52
  4. Step 4: Simplify right side
    201,861.40x = 32,604,040,272.73
  5. Step 5: Solve for x
    x = 32,604,040,272.73/201,861.40
  6. Step 6: Final answer
    x = 161,516.96

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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.