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Finding the Fourth Proportional to 203,781.20, 305,685.30 and 54,019.40

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Solution

The fourth proportional to 203,781.20, 305,685.30 and 54,019.40 is: 81,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,781.20 : 305,685.30 = 54,019.40 : x
  2. Step 2: Convert to fraction form
    203,781.20/305,685.30 = 54,019.40/x
  3. Step 3: Cross multiply
    203,781.20x = 305,685.30 × 54,019.40
  4. Step 4: Simplify right side
    203,781.20x = 16,512,936,494.82
  5. Step 5: Solve for x
    x = 16,512,936,494.82/203,781.20
  6. Step 6: Final answer
    x = 81,032.68

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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.