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Finding the Fourth Proportional to 203,469.24, 280,804.22 and 112,853.72

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Solution

The fourth proportional to 203,469.24, 280,804.22 and 112,853.72 is: 155,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,469.24 : 280,804.22 = 112,853.72 : x
  2. Step 2: Convert to fraction form
    203,469.24/280,804.22 = 112,853.72/x
  3. Step 3: Cross multiply
    203,469.24x = 280,804.22 × 112,853.72
  4. Step 4: Simplify right side
    203,469.24x = 31,689,800,818.70
  5. Step 5: Solve for x
    x = 31,689,800,818.70/203,469.24
  6. Step 6: Final answer
    x = 155,747.38

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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.