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Finding the Fourth Proportional to 34,243.70, 47,261.49 and 20,102.90

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Solution

The fourth proportional to 34,243.70, 47,261.49 and 20,102.90 is: 27,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,243.70 : 47,261.49 = 20,102.90 : x
  2. Step 2: Convert to fraction form
    34,243.70/47,261.49 = 20,102.90/x
  3. Step 3: Cross multiply
    34,243.70x = 47,261.49 × 20,102.90
  4. Step 4: Simplify right side
    34,243.70x = 950,093,007.32
  5. Step 5: Solve for x
    x = 950,093,007.32/34,243.70
  6. Step 6: Final answer
    x = 27,745.05

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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.