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Finding the Fourth Proportional to 66,893.50, 92,327.43 and 40,042

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Solution

The fourth proportional to 66,893.50, 92,327.43 and 40,042 is: 55,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,893.50 : 92,327.43 = 40,042 : x
  2. Step 2: Convert to fraction form
    66,893.50/92,327.43 = 40,042/x
  3. Step 3: Cross multiply
    66,893.50x = 92,327.43 × 40,042
  4. Step 4: Simplify right side
    66,893.50x = 3,696,974,952.06
  5. Step 5: Solve for x
    x = 3,696,974,952.06/66,893.50
  6. Step 6: Final answer
    x = 55,266.58

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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.