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Finding the Fourth Proportional to 66,471.72, 91,731.26 and 36,257.69

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Solution

The fourth proportional to 66,471.72, 91,731.26 and 36,257.69 is: 50,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,471.72 : 91,731.26 = 36,257.69 : x
  2. Step 2: Convert to fraction form
    66,471.72/91,731.26 = 36,257.69/x
  3. Step 3: Cross multiply
    66,471.72x = 91,731.26 × 36,257.69
  4. Step 4: Simplify right side
    66,471.72x = 3,325,963,588.39
  5. Step 5: Solve for x
    x = 3,325,963,588.39/66,471.72
  6. Step 6: Final answer
    x = 50,035.77

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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.