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Finding the Fourth Proportional to 147,109, 203,027.72 and 87,493

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Solution

The fourth proportional to 147,109, 203,027.72 and 87,493 is: 120,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,109 : 203,027.72 = 87,493 : x
  2. Step 2: Convert to fraction form
    147,109/203,027.72 = 87,493/x
  3. Step 3: Cross multiply
    147,109x = 203,027.72 × 87,493
  4. Step 4: Simplify right side
    147,109x = 17,763,504,305.96
  5. Step 5: Solve for x
    x = 17,763,504,305.96/147,109
  6. Step 6: Final answer
    x = 120,750.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.