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Finding the Fourth Proportional to 66,793, 92,174.34 and 36,985

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Solution

The fourth proportional to 66,793, 92,174.34 and 36,985 is: 51,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,793 : 92,174.34 = 36,985 : x
  2. Step 2: Convert to fraction form
    66,793/92,174.34 = 36,985/x
  3. Step 3: Cross multiply
    66,793x = 92,174.34 × 36,985
  4. Step 4: Simplify right side
    66,793x = 3,409,067,964.90
  5. Step 5: Solve for x
    x = 3,409,067,964.90/66,793
  6. Step 6: Final answer
    x = 51,039.30

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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.