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Finding the Fourth Proportional to 68,841.78, 94,993.20 and 40,542

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Solution

The fourth proportional to 68,841.78, 94,993.20 and 40,542 is: 55,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,841.78 : 94,993.20 = 40,542 : x
  2. Step 2: Convert to fraction form
    68,841.78/94,993.20 = 40,542/x
  3. Step 3: Cross multiply
    68,841.78x = 94,993.20 × 40,542
  4. Step 4: Simplify right side
    68,841.78x = 3,851,214,314.40
  5. Step 5: Solve for x
    x = 3,851,214,314.40/68,841.78
  6. Step 6: Final answer
    x = 55,942.98

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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.