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Finding the Fourth Proportional to 133,540.80, 200,138.40 and 96,561.60

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Solution

The fourth proportional to 133,540.80, 200,138.40 and 96,561.60 is: 144,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,540.80 : 200,138.40 = 96,561.60 : x
  2. Step 2: Convert to fraction form
    133,540.80/200,138.40 = 96,561.60/x
  3. Step 3: Cross multiply
    133,540.80x = 200,138.40 × 96,561.60
  4. Step 4: Simplify right side
    133,540.80x = 19,325,684,125.44
  5. Step 5: Solve for x
    x = 19,325,684,125.44/133,540.80
  6. Step 6: Final answer
    x = 144,717.45

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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.