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Finding the Fourth Proportional to 203,878.20, 305,817.30 and 54,141.60

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Solution

The fourth proportional to 203,878.20, 305,817.30 and 54,141.60 is: 81,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,878.20 : 305,817.30 = 54,141.60 : x
  2. Step 2: Convert to fraction form
    203,878.20/305,817.30 = 54,141.60/x
  3. Step 3: Cross multiply
    203,878.20x = 305,817.30 × 54,141.60
  4. Step 4: Simplify right side
    203,878.20x = 16,557,437,929.68
  5. Step 5: Solve for x
    x = 16,557,437,929.68/203,878.20
  6. Step 6: Final answer
    x = 81,212.40

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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.