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Finding the Fourth Proportional to 203,474.40, 280,823.72 and 112,850.52

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Solution

The fourth proportional to 203,474.40, 280,823.72 and 112,850.52 is: 155,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.40 : 280,823.72 = 112,850.52 : x
  2. Step 2: Convert to fraction form
    203,474.40/280,823.72 = 112,850.52/x
  3. Step 3: Cross multiply
    203,474.40x = 280,823.72 × 112,850.52
  4. Step 4: Simplify right side
    203,474.40x = 31,691,102,830.33
  5. Step 5: Solve for x
    x = 31,691,102,830.33/203,474.40
  6. Step 6: Final answer
    x = 155,749.83

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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.