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Finding the Fourth Proportional to 147,171.52, 203,101.48 and 83,512

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Solution

The fourth proportional to 147,171.52, 203,101.48 and 83,512 is: 115,249.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,171.52 : 203,101.48 = 83,512 : x
  2. Step 2: Convert to fraction form
    147,171.52/203,101.48 = 83,512/x
  3. Step 3: Cross multiply
    147,171.52x = 203,101.48 × 83,512
  4. Step 4: Simplify right side
    147,171.52x = 16,961,410,797.76
  5. Step 5: Solve for x
    x = 16,961,410,797.76/147,171.52
  6. Step 6: Final answer
    x = 115,249.27

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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.