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Finding the Fourth Proportional to 203,838.82, 281,288.12 and 113,200.54

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Solution

The fourth proportional to 203,838.82, 281,288.12 and 113,200.54 is: 156,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,838.82 : 281,288.12 = 113,200.54 : x
  2. Step 2: Convert to fraction form
    203,838.82/281,288.12 = 113,200.54/x
  3. Step 3: Cross multiply
    203,838.82x = 281,288.12 × 113,200.54
  4. Step 4: Simplify right side
    203,838.82x = 31,841,967,079.58
  5. Step 5: Solve for x
    x = 31,841,967,079.58/203,838.82
  6. Step 6: Final answer
    x = 156,211.50

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1.5x scale

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.