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Finding the Fourth Proportional to 203,894.52, 306,028.58 and 109,231.58

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Solution

The fourth proportional to 203,894.52, 306,028.58 and 109,231.58 is: 163,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,894.52 : 306,028.58 = 109,231.58 : x
  2. Step 2: Convert to fraction form
    203,894.52/306,028.58 = 109,231.58/x
  3. Step 3: Cross multiply
    203,894.52x = 306,028.58 × 109,231.58
  4. Step 4: Simplify right side
    203,894.52x = 33,427,983,242.26
  5. Step 5: Solve for x
    x = 33,427,983,242.26/203,894.52
  6. Step 6: Final answer
    x = 163,947.43

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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.