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Finding the Fourth Proportional to 203,078.94, 304,610.85 and 53,317.86

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Solution

The fourth proportional to 203,078.94, 304,610.85 and 53,317.86 is: 79,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,078.94 : 304,610.85 = 53,317.86 : x
  2. Step 2: Convert to fraction form
    203,078.94/304,610.85 = 53,317.86/x
  3. Step 3: Cross multiply
    203,078.94x = 304,610.85 × 53,317.86
  4. Step 4: Simplify right side
    203,078.94x = 16,241,198,654.78
  5. Step 5: Solve for x
    x = 16,241,198,654.78/203,078.94
  6. Step 6: Final answer
    x = 79,974.81

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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.