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Finding the Fourth Proportional to 34,176.36, 47,163.40 and 20,029.20

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Solution

The fourth proportional to 34,176.36, 47,163.40 and 20,029.20 is: 27,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.36 : 47,163.40 = 20,029.20 : x
  2. Step 2: Convert to fraction form
    34,176.36/47,163.40 = 20,029.20/x
  3. Step 3: Cross multiply
    34,176.36x = 47,163.40 × 20,029.20
  4. Step 4: Simplify right side
    34,176.36x = 944,645,171.28
  5. Step 5: Solve for x
    x = 944,645,171.28/34,176.36
  6. Step 6: Final answer
    x = 27,640.31

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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.