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Finding the Fourth Proportional to 203,115.24, 280,295.60 and 112,469.24

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Solution

The fourth proportional to 203,115.24, 280,295.60 and 112,469.24 is: 155,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,115.24 : 280,295.60 = 112,469.24 : x
  2. Step 2: Convert to fraction form
    203,115.24/280,295.60 = 112,469.24/x
  3. Step 3: Cross multiply
    203,115.24x = 280,295.60 × 112,469.24
  4. Step 4: Simplify right side
    203,115.24x = 31,524,633,107.34
  5. Step 5: Solve for x
    x = 31,524,633,107.34/203,115.24
  6. Step 6: Final answer
    x = 155,205.65

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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.