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Finding the Fourth Proportional to 41,940.75, 57,878.64 and 23,078.28

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Solution

The fourth proportional to 41,940.75, 57,878.64 and 23,078.28 is: 31,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,940.75 : 57,878.64 = 23,078.28 : x
  2. Step 2: Convert to fraction form
    41,940.75/57,878.64 = 23,078.28/x
  3. Step 3: Cross multiply
    41,940.75x = 57,878.64 × 23,078.28
  4. Step 4: Simplify right side
    41,940.75x = 1,335,739,459.94
  5. Step 5: Solve for x
    x = 1,335,739,459.94/41,940.75
  6. Step 6: Final answer
    x = 31,848.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.