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Finding the Fourth Proportional to 68,378.22, 102,559.04 and 18,454.50

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Solution

The fourth proportional to 68,378.22, 102,559.04 and 18,454.50 is: 27,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,378.22 : 102,559.04 = 18,454.50 : x
  2. Step 2: Convert to fraction form
    68,378.22/102,559.04 = 18,454.50/x
  3. Step 3: Cross multiply
    68,378.22x = 102,559.04 × 18,454.50
  4. Step 4: Simplify right side
    68,378.22x = 1,892,675,803.68
  5. Step 5: Solve for x
    x = 1,892,675,803.68/68,378.22
  6. Step 6: Final answer
    x = 27,679.51

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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.