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Finding the Fourth Proportional to 135,805.96, 203,757.54 and 69,262.84

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Solution

The fourth proportional to 135,805.96, 203,757.54 and 69,262.84 is: 103,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,805.96 : 203,757.54 = 69,262.84 : x
  2. Step 2: Convert to fraction form
    135,805.96/203,757.54 = 69,262.84/x
  3. Step 3: Cross multiply
    135,805.96x = 203,757.54 × 69,262.84
  4. Step 4: Simplify right side
    135,805.96x = 14,112,825,891.81
  5. Step 5: Solve for x
    x = 14,112,825,891.81/135,805.96
  6. Step 6: Final answer
    x = 103,919.05

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Why These Related Problems?

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