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Finding the Fourth Proportional to 78,066.96, 117,166.05 and 33,727.56

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Solution

The fourth proportional to 78,066.96, 117,166.05 and 33,727.56 is: 50,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,066.96 : 117,166.05 = 33,727.56 : x
  2. Step 2: Convert to fraction form
    78,066.96/117,166.05 = 33,727.56/x
  3. Step 3: Cross multiply
    78,066.96x = 117,166.05 × 33,727.56
  4. Step 4: Simplify right side
    78,066.96x = 3,951,724,981.34
  5. Step 5: Solve for x
    x = 3,951,724,981.34/78,066.96
  6. Step 6: Final answer
    x = 50,619.69

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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.