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Finding the Fourth Proportional to 135,996.40, 203,913.60 and 83,443.60

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Solution

The fourth proportional to 135,996.40, 203,913.60 and 83,443.60 is: 125,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,996.40 : 203,913.60 = 83,443.60 : x
  2. Step 2: Convert to fraction form
    135,996.40/203,913.60 = 83,443.60/x
  3. Step 3: Cross multiply
    135,996.40x = 203,913.60 × 83,443.60
  4. Step 4: Simplify right side
    135,996.40x = 17,015,284,872.96
  5. Step 5: Solve for x
    x = 17,015,284,872.96/135,996.40
  6. Step 6: Final answer
    x = 125,115.70

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1.5x scale

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.