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Finding the Fourth Proportional to 133,724.12, 200,581.31 and 53,786.84

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Solution

The fourth proportional to 133,724.12, 200,581.31 and 53,786.84 is: 80,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,724.12 : 200,581.31 = 53,786.84 : x
  2. Step 2: Convert to fraction form
    133,724.12/200,581.31 = 53,786.84/x
  3. Step 3: Cross multiply
    133,724.12x = 200,581.31 × 53,786.84
  4. Step 4: Simplify right side
    133,724.12x = 10,788,633,959.52
  5. Step 5: Solve for x
    x = 10,788,633,959.52/133,724.12
  6. Step 6: Final answer
    x = 80,678.30

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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.