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Finding the Fourth Proportional to 203,142.94, 304,766.25 and 128,791.42

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Solution

The fourth proportional to 203,142.94, 304,766.25 and 128,791.42 is: 193,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142.94 : 304,766.25 = 128,791.42 : x
  2. Step 2: Convert to fraction form
    203,142.94/304,766.25 = 128,791.42/x
  3. Step 3: Cross multiply
    203,142.94x = 304,766.25 × 128,791.42
  4. Step 4: Simplify right side
    203,142.94x = 39,251,278,105.58
  5. Step 5: Solve for x
    x = 39,251,278,105.58/203,142.94
  6. Step 6: Final answer
    x = 193,220.00

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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.