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Finding the Fourth Proportional to 203,115.74, 280,296.29 and 112,469.74

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Solution

The fourth proportional to 203,115.74, 280,296.29 and 112,469.74 is: 155,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,115.74 : 280,296.29 = 112,469.74 : x
  2. Step 2: Convert to fraction form
    203,115.74/280,296.29 = 112,469.74/x
  3. Step 3: Cross multiply
    203,115.74x = 280,296.29 × 112,469.74
  4. Step 4: Simplify right side
    203,115.74x = 31,524,850,859.26
  5. Step 5: Solve for x
    x = 31,524,850,859.26/203,115.74
  6. Step 6: Final answer
    x = 155,206.34

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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.