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Finding the Fourth Proportional to 203,512.90, 305,219.58 and 159,029.32

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Solution

The fourth proportional to 203,512.90, 305,219.58 and 159,029.32 is: 238,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,512.90 : 305,219.58 = 159,029.32 : x
  2. Step 2: Convert to fraction form
    203,512.90/305,219.58 = 159,029.32/x
  3. Step 3: Cross multiply
    203,512.90x = 305,219.58 × 159,029.32
  4. Step 4: Simplify right side
    203,512.90x = 48,538,862,258.09
  5. Step 5: Solve for x
    x = 48,538,862,258.09/203,512.90
  6. Step 6: Final answer
    x = 238,505.09

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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.