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Finding the Fourth Proportional to 203,473.60, 305,147.98 and 140,697.10

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Solution

The fourth proportional to 203,473.60, 305,147.98 and 140,697.10 is: 211,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,473.60 : 305,147.98 = 140,697.10 : x
  2. Step 2: Convert to fraction form
    203,473.60/305,147.98 = 140,697.10/x
  3. Step 3: Cross multiply
    203,473.60x = 305,147.98 × 140,697.10
  4. Step 4: Simplify right side
    203,473.60x = 42,933,435,856.86
  5. Step 5: Solve for x
    x = 42,933,435,856.86/203,473.60
  6. Step 6: Final answer
    x = 211,002.49

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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.