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Finding the Fourth Proportional to 203,115.66, 280,296.18 and 112,469.67

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Solution

The fourth proportional to 203,115.66, 280,296.18 and 112,469.67 is: 155,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,115.66 : 280,296.18 = 112,469.67 : x
  2. Step 2: Convert to fraction form
    203,115.66/280,296.18 = 112,469.67/x
  3. Step 3: Cross multiply
    203,115.66x = 280,296.18 × 112,469.67
  4. Step 4: Simplify right side
    203,115.66x = 31,524,819,917.97
  5. Step 5: Solve for x
    x = 31,524,819,917.97/203,115.66
  6. Step 6: Final answer
    x = 155,206.25

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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.