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Finding the Fourth Proportional to 203,688.60, 305,348.20 and 110,085

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Solution

The fourth proportional to 203,688.60, 305,348.20 and 110,085 is: 165,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,688.60 : 305,348.20 = 110,085 : x
  2. Step 2: Convert to fraction form
    203,688.60/305,348.20 = 110,085/x
  3. Step 3: Cross multiply
    203,688.60x = 305,348.20 × 110,085
  4. Step 4: Simplify right side
    203,688.60x = 33,614,256,597
  5. Step 5: Solve for x
    x = 33,614,256,597/203,688.60
  6. Step 6: Final answer
    x = 165,027.68

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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.