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Finding the Fourth Proportional to 203,898.52, 305,863.86 and 54,138.82

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Solution

The fourth proportional to 203,898.52, 305,863.86 and 54,138.82 is: 81,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,898.52 : 305,863.86 = 54,138.82 : x
  2. Step 2: Convert to fraction form
    203,898.52/305,863.86 = 54,138.82/x
  3. Step 3: Cross multiply
    203,898.52x = 305,863.86 × 54,138.82
  4. Step 4: Simplify right side
    203,898.52x = 16,559,108,461.05
  5. Step 5: Solve for x
    x = 16,559,108,461.05/203,898.52
  6. Step 6: Final answer
    x = 81,212.50

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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.