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Finding the Fourth Proportional to 203,453.30, 305,117.62 and 140,676.83

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Solution

The fourth proportional to 203,453.30, 305,117.62 and 140,676.83 is: 210,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,453.30 : 305,117.62 = 140,676.83 : x
  2. Step 2: Convert to fraction form
    203,453.30/305,117.62 = 140,676.83/x
  3. Step 3: Cross multiply
    203,453.30x = 305,117.62 × 140,676.83
  4. Step 4: Simplify right side
    203,453.30x = 42,922,979,969.85
  5. Step 5: Solve for x
    x = 42,922,979,969.85/203,453.30
  6. Step 6: Final answer
    x = 210,972.15

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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.