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Finding the Fourth Proportional to 133,555.32, 200,410.78 and 50,455.80

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Solution

The fourth proportional to 133,555.32, 200,410.78 and 50,455.80 is: 75,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,555.32 : 200,410.78 = 50,455.80 : x
  2. Step 2: Convert to fraction form
    133,555.32/200,410.78 = 50,455.80/x
  3. Step 3: Cross multiply
    133,555.32x = 200,410.78 × 50,455.80
  4. Step 4: Simplify right side
    133,555.32x = 10,111,886,233.52
  5. Step 5: Solve for x
    x = 10,111,886,233.52/133,555.32
  6. Step 6: Final answer
    x = 75,713.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.