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Finding the Fourth Proportional to 203,791.30, 305,410.47 and 115,000.90

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Solution

The fourth proportional to 203,791.30, 305,410.47 and 115,000.90 is: 172,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,791.30 : 305,410.47 = 115,000.90 : x
  2. Step 2: Convert to fraction form
    203,791.30/305,410.47 = 115,000.90/x
  3. Step 3: Cross multiply
    203,791.30x = 305,410.47 × 115,000.90
  4. Step 4: Simplify right side
    203,791.30x = 35,122,478,919.42
  5. Step 5: Solve for x
    x = 35,122,478,919.42/203,791.30
  6. Step 6: Final answer
    x = 172,345.33

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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.