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Finding the Fourth Proportional to 203,819.25, 305,395.92 and 123,881.67

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Solution

The fourth proportional to 203,819.25, 305,395.92 and 123,881.67 is: 185,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,819.25 : 305,395.92 = 123,881.67 : x
  2. Step 2: Convert to fraction form
    203,819.25/305,395.92 = 123,881.67/x
  3. Step 3: Cross multiply
    203,819.25x = 305,395.92 × 123,881.67
  4. Step 4: Simplify right side
    203,819.25x = 37,832,956,580.79
  5. Step 5: Solve for x
    x = 37,832,956,580.79/203,819.25
  6. Step 6: Final answer
    x = 185,620.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.