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Finding the Fourth Proportional to 68,276.28, 102,414.30 and 19,028.28

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Solution

The fourth proportional to 68,276.28, 102,414.30 and 19,028.28 is: 28,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,276.28 : 102,414.30 = 19,028.28 : x
  2. Step 2: Convert to fraction form
    68,276.28/102,414.30 = 19,028.28/x
  3. Step 3: Cross multiply
    68,276.28x = 102,414.30 × 19,028.28
  4. Step 4: Simplify right side
    68,276.28x = 1,948,767,976.40
  5. Step 5: Solve for x
    x = 1,948,767,976.40/68,276.28
  6. Step 6: Final answer
    x = 28,542.39

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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.