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Finding the Fourth Proportional to 66,857.71, 92,264.34 and 36,642.36

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Solution

The fourth proportional to 66,857.71, 92,264.34 and 36,642.36 is: 50,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,857.71 : 92,264.34 = 36,642.36 : x
  2. Step 2: Convert to fraction form
    66,857.71/92,264.34 = 36,642.36/x
  3. Step 3: Cross multiply
    66,857.71x = 92,264.34 × 36,642.36
  4. Step 4: Simplify right side
    66,857.71x = 3,380,783,161.44
  5. Step 5: Solve for x
    x = 3,380,783,161.44/66,857.71
  6. Step 6: Final answer
    x = 50,566.84

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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.