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Finding the Fourth Proportional to 138,966.96, 208,447.56 and 33,786.48

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Solution

The fourth proportional to 138,966.96, 208,447.56 and 33,786.48 is: 50,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,966.96 : 208,447.56 = 33,786.48 : x
  2. Step 2: Convert to fraction form
    138,966.96/208,447.56 = 33,786.48/x
  3. Step 3: Cross multiply
    138,966.96x = 208,447.56 × 33,786.48
  4. Step 4: Simplify right side
    138,966.96x = 7,042,709,316.99
  5. Step 5: Solve for x
    x = 7,042,709,316.99/138,966.96
  6. Step 6: Final answer
    x = 50,679.02

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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.