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Finding the Fourth Proportional to 203,799.20, 305,712.30 and 54,037.40

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Solution

The fourth proportional to 203,799.20, 305,712.30 and 54,037.40 is: 81,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,799.20 : 305,712.30 = 54,037.40 : x
  2. Step 2: Convert to fraction form
    203,799.20/305,712.30 = 54,037.40/x
  3. Step 3: Cross multiply
    203,799.20x = 305,712.30 × 54,037.40
  4. Step 4: Simplify right side
    203,799.20x = 16,519,897,840.02
  5. Step 5: Solve for x
    x = 16,519,897,840.02/203,799.20
  6. Step 6: Final answer
    x = 81,059.68

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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.