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Finding the Fourth Proportional to 203,891.58, 281,379.76 and 113,247.92

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Solution

The fourth proportional to 203,891.58, 281,379.76 and 113,247.92 is: 156,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,891.58 : 281,379.76 = 113,247.92 : x
  2. Step 2: Convert to fraction form
    203,891.58/281,379.76 = 113,247.92/x
  3. Step 3: Cross multiply
    203,891.58x = 281,379.76 × 113,247.92
  4. Step 4: Simplify right side
    203,891.58x = 31,865,672,970.43
  5. Step 5: Solve for x
    x = 31,865,672,970.43/203,891.58
  6. Step 6: Final answer
    x = 156,287.34

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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.