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Finding the Fourth Proportional to 68,400, 102,593.28 and 33,363.84

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Solution

The fourth proportional to 68,400, 102,593.28 and 33,363.84 is: 50,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400 : 102,593.28 = 33,363.84 : x
  2. Step 2: Convert to fraction form
    68,400/102,593.28 = 33,363.84/x
  3. Step 3: Cross multiply
    68,400x = 102,593.28 × 33,363.84
  4. Step 4: Simplify right side
    68,400x = 3,422,905,779.00
  5. Step 5: Solve for x
    x = 3,422,905,779.00/68,400
  6. Step 6: Final answer
    x = 50,042.48

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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.