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Finding the Fourth Proportional to 66,794, 92,178.64 and 36,986

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Solution

The fourth proportional to 66,794, 92,178.64 and 36,986 is: 51,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,794 : 92,178.64 = 36,986 : x
  2. Step 2: Convert to fraction form
    66,794/92,178.64 = 36,986/x
  3. Step 3: Cross multiply
    66,794x = 92,178.64 × 36,986
  4. Step 4: Simplify right side
    66,794x = 3,409,319,179.04
  5. Step 5: Solve for x
    x = 3,409,319,179.04/66,794
  6. Step 6: Final answer
    x = 51,042.30

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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.