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Finding the Fourth Proportional to 68,511, 102,766.54 and 19,263

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Solution

The fourth proportional to 68,511, 102,766.54 and 19,263 is: 28,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,511 : 102,766.54 = 19,263 : x
  2. Step 2: Convert to fraction form
    68,511/102,766.54 = 19,263/x
  3. Step 3: Cross multiply
    68,511x = 102,766.54 × 19,263
  4. Step 4: Simplify right side
    68,511x = 1,979,591,860.02
  5. Step 5: Solve for x
    x = 1,979,591,860.02/68,511
  6. Step 6: Final answer
    x = 28,894.51

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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.