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Finding the Fourth Proportional to 203,689.60, 305,349.70 and 110,086

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Solution

The fourth proportional to 203,689.60, 305,349.70 and 110,086 is: 165,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,689.60 : 305,349.70 = 110,086 : x
  2. Step 2: Convert to fraction form
    203,689.60/305,349.70 = 110,086/x
  3. Step 3: Cross multiply
    203,689.60x = 305,349.70 × 110,086
  4. Step 4: Simplify right side
    203,689.60x = 33,614,727,074.20
  5. Step 5: Solve for x
    x = 33,614,727,074.20/203,689.60
  6. Step 6: Final answer
    x = 165,029.18

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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.