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Finding the Fourth Proportional to 68,498.46, 102,734.73 and 21,751.74

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Solution

The fourth proportional to 68,498.46, 102,734.73 and 21,751.74 is: 32,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498.46 : 102,734.73 = 21,751.74 : x
  2. Step 2: Convert to fraction form
    68,498.46/102,734.73 = 21,751.74/x
  3. Step 3: Cross multiply
    68,498.46x = 102,734.73 × 21,751.74
  4. Step 4: Simplify right side
    68,498.46x = 2,234,659,135.93
  5. Step 5: Solve for x
    x = 2,234,659,135.93/68,498.46
  6. Step 6: Final answer
    x = 32,623.49

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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.