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Finding the Fourth Proportional to 254,008.60, 381,241.32 and 135,781

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Solution

The fourth proportional to 254,008.60, 381,241.32 and 135,781 is: 203,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,008.60 : 381,241.32 = 135,781 : x
  2. Step 2: Convert to fraction form
    254,008.60/381,241.32 = 135,781/x
  3. Step 3: Cross multiply
    254,008.60x = 381,241.32 × 135,781
  4. Step 4: Simplify right side
    254,008.60x = 51,765,327,670.92
  5. Step 5: Solve for x
    x = 51,765,327,670.92/254,008.60
  6. Step 6: Final answer
    x = 203,793.60

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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.