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Finding the Fourth Proportional to 203,285.58, 305,278.29 and 109,856.94

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Solution

The fourth proportional to 203,285.58, 305,278.29 and 109,856.94 is: 164,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,285.58 : 305,278.29 = 109,856.94 : x
  2. Step 2: Convert to fraction form
    203,285.58/305,278.29 = 109,856.94/x
  3. Step 3: Cross multiply
    203,285.58x = 305,278.29 × 109,856.94
  4. Step 4: Simplify right side
    203,285.58x = 33,536,938,787.83
  5. Step 5: Solve for x
    x = 33,536,938,787.83/203,285.58
  6. Step 6: Final answer
    x = 164,974.51

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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.