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Finding the Fourth Proportional to 68,032.80, 102,049.40 and 20,648.27

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Solution

The fourth proportional to 68,032.80, 102,049.40 and 20,648.27 is: 30,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032.80 : 102,049.40 = 20,648.27 : x
  2. Step 2: Convert to fraction form
    68,032.80/102,049.40 = 20,648.27/x
  3. Step 3: Cross multiply
    68,032.80x = 102,049.40 × 20,648.27
  4. Step 4: Simplify right side
    68,032.80x = 2,107,143,871.28
  5. Step 5: Solve for x
    x = 2,107,143,871.28/68,032.80
  6. Step 6: Final answer
    x = 30,972.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.