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Finding the Fourth Proportional to 203,894.72, 281,511.84 and 156,062.72

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Solution

The fourth proportional to 203,894.72, 281,511.84 and 156,062.72 is: 215,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,894.72 : 281,511.84 = 156,062.72 : x
  2. Step 2: Convert to fraction form
    203,894.72/281,511.84 = 156,062.72/x
  3. Step 3: Cross multiply
    203,894.72x = 281,511.84 × 156,062.72
  4. Step 4: Simplify right side
    203,894.72x = 43,933,503,462.60
  5. Step 5: Solve for x
    x = 43,933,503,462.60/203,894.72
  6. Step 6: Final answer
    x = 215,471.51

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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.