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Finding the Fourth Proportional to 197,201.55, 295,905.60 and 90,617.70

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Solution

The fourth proportional to 197,201.55, 295,905.60 and 90,617.70 is: 135,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201.55 : 295,905.60 = 90,617.70 : x
  2. Step 2: Convert to fraction form
    197,201.55/295,905.60 = 90,617.70/x
  3. Step 3: Cross multiply
    197,201.55x = 295,905.60 × 90,617.70
  4. Step 4: Simplify right side
    197,201.55x = 26,814,284,889.12
  5. Step 5: Solve for x
    x = 26,814,284,889.12/197,201.55
  6. Step 6: Final answer
    x = 135,974.01

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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.