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Finding the Fourth Proportional to 135,202.32, 186,580.44 and 74,769.84

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Solution

The fourth proportional to 135,202.32, 186,580.44 and 74,769.84 is: 103,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,202.32 : 186,580.44 = 74,769.84 : x
  2. Step 2: Convert to fraction form
    135,202.32/186,580.44 = 74,769.84/x
  3. Step 3: Cross multiply
    135,202.32x = 186,580.44 × 74,769.84
  4. Step 4: Simplify right side
    135,202.32x = 13,950,589,645.93
  5. Step 5: Solve for x
    x = 13,950,589,645.93/135,202.32
  6. Step 6: Final answer
    x = 103,183.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.