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Finding the Fourth Proportional to 68,028.20, 102,027.72 and 21,275

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Solution

The fourth proportional to 68,028.20, 102,027.72 and 21,275 is: 31,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,028.20 : 102,027.72 = 21,275 : x
  2. Step 2: Convert to fraction form
    68,028.20/102,027.72 = 21,275/x
  3. Step 3: Cross multiply
    68,028.20x = 102,027.72 × 21,275
  4. Step 4: Simplify right side
    68,028.20x = 2,170,639,743
  5. Step 5: Solve for x
    x = 2,170,639,743/68,028.20
  6. Step 6: Final answer
    x = 31,907.94

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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.