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Finding the Fourth Proportional to 66,471.68, 91,731.20 and 36,257.65

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Solution

The fourth proportional to 66,471.68, 91,731.20 and 36,257.65 is: 50,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,471.68 : 91,731.20 = 36,257.65 : x
  2. Step 2: Convert to fraction form
    66,471.68/91,731.20 = 36,257.65/x
  3. Step 3: Cross multiply
    66,471.68x = 91,731.20 × 36,257.65
  4. Step 4: Simplify right side
    66,471.68x = 3,325,957,274.37
  5. Step 5: Solve for x
    x = 3,325,957,274.37/66,471.68
  6. Step 6: Final answer
    x = 50,035.71

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Why These Related Problems?

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