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Finding the Fourth Proportional to 135,424.32, 203,080.32 and 51,169.92

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Solution

The fourth proportional to 135,424.32, 203,080.32 and 51,169.92 is: 76,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,424.32 : 203,080.32 = 51,169.92 : x
  2. Step 2: Convert to fraction form
    135,424.32/203,080.32 = 51,169.92/x
  3. Step 3: Cross multiply
    135,424.32x = 203,080.32 × 51,169.92
  4. Step 4: Simplify right side
    135,424.32x = 10,391,603,727.97
  5. Step 5: Solve for x
    x = 10,391,603,727.97/135,424.32
  6. Step 6: Final answer
    x = 76,733.66

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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.