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Finding the Fourth Proportional to 135,287.60, 202,709.74 and 72,040.56

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Solution

The fourth proportional to 135,287.60, 202,709.74 and 72,040.56 is: 107,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,287.60 : 202,709.74 = 72,040.56 : x
  2. Step 2: Convert to fraction form
    135,287.60/202,709.74 = 72,040.56/x
  3. Step 3: Cross multiply
    135,287.60x = 202,709.74 × 72,040.56
  4. Step 4: Simplify right side
    135,287.60x = 14,603,323,187.05
  5. Step 5: Solve for x
    x = 14,603,323,187.05/135,287.60
  6. Step 6: Final answer
    x = 107,942.81

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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.