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Finding the Fourth Proportional to 66,770, 92,142.60 and 36,962

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Solution

The fourth proportional to 66,770, 92,142.60 and 36,962 is: 51,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,770 : 92,142.60 = 36,962 : x
  2. Step 2: Convert to fraction form
    66,770/92,142.60 = 36,962/x
  3. Step 3: Cross multiply
    66,770x = 92,142.60 × 36,962
  4. Step 4: Simplify right side
    66,770x = 3,405,774,781.20
  5. Step 5: Solve for x
    x = 3,405,774,781.20/66,770
  6. Step 6: Final answer
    x = 51,007.56

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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.