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Finding the Fourth Proportional to 66,284, 91,471.92 and 36,476

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Solution

The fourth proportional to 66,284, 91,471.92 and 36,476 is: 50,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,284 : 91,471.92 = 36,476 : x
  2. Step 2: Convert to fraction form
    66,284/91,471.92 = 36,476/x
  3. Step 3: Cross multiply
    66,284x = 91,471.92 × 36,476
  4. Step 4: Simplify right side
    66,284x = 3,336,529,753.92
  5. Step 5: Solve for x
    x = 3,336,529,753.92/66,284
  6. Step 6: Final answer
    x = 50,336.88

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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.