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Finding the Fourth Proportional to 203,791.84, 305,589.45 and 85,431.40

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Solution

The fourth proportional to 203,791.84, 305,589.45 and 85,431.40 is: 128,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,791.84 : 305,589.45 = 85,431.40 : x
  2. Step 2: Convert to fraction form
    203,791.84/305,589.45 = 85,431.40/x
  3. Step 3: Cross multiply
    203,791.84x = 305,589.45 × 85,431.40
  4. Step 4: Simplify right side
    203,791.84x = 26,106,934,538.73
  5. Step 5: Solve for x
    x = 26,106,934,538.73/203,791.84
  6. Step 6: Final answer
    x = 128,105.89

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1.5x scale

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.