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Finding the Fourth Proportional to 254,190, 381,285 and 87,978

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Solution

The fourth proportional to 254,190, 381,285 and 87,978 is: 131,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,190 : 381,285 = 87,978 : x
  2. Step 2: Convert to fraction form
    254,190/381,285 = 87,978/x
  3. Step 3: Cross multiply
    254,190x = 381,285 × 87,978
  4. Step 4: Simplify right side
    254,190x = 33,544,691,730
  5. Step 5: Solve for x
    x = 33,544,691,730/254,190
  6. Step 6: Final answer
    x = 131,967

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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.