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Finding the Fourth Proportional to 203,872.84, 305,785.49 and 54,124.76

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Solution

The fourth proportional to 203,872.84, 305,785.49 and 54,124.76 is: 81,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,872.84 : 305,785.49 = 54,124.76 : x
  2. Step 2: Convert to fraction form
    203,872.84/305,785.49 = 54,124.76/x
  3. Step 3: Cross multiply
    203,872.84x = 305,785.49 × 54,124.76
  4. Step 4: Simplify right side
    203,872.84x = 16,550,566,751.57
  5. Step 5: Solve for x
    x = 16,550,566,751.57/203,872.84
  6. Step 6: Final answer
    x = 81,180.83

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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.