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Finding the Fourth Proportional to 66,800, 92,186.88 and 36,992

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Solution

The fourth proportional to 66,800, 92,186.88 and 36,992 is: 51,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,800 : 92,186.88 = 36,992 : x
  2. Step 2: Convert to fraction form
    66,800/92,186.88 = 36,992/x
  3. Step 3: Cross multiply
    66,800x = 92,186.88 × 36,992
  4. Step 4: Simplify right side
    66,800x = 3,410,177,064.96
  5. Step 5: Solve for x
    x = 3,410,177,064.96/66,800
  6. Step 6: Final answer
    x = 51,050.55

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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.