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Finding the Fourth Proportional to 133,665.36, 200,420.20 and 50,565.84

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Solution

The fourth proportional to 133,665.36, 200,420.20 and 50,565.84 is: 75,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,665.36 : 200,420.20 = 50,565.84 : x
  2. Step 2: Convert to fraction form
    133,665.36/200,420.20 = 50,565.84/x
  3. Step 3: Cross multiply
    133,665.36x = 200,420.20 × 50,565.84
  4. Step 4: Simplify right side
    133,665.36x = 10,134,415,765.97
  5. Step 5: Solve for x
    x = 10,134,415,765.97/133,665.36
  6. Step 6: Final answer
    x = 75,819.31

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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.