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Finding the Fourth Proportional to 179,808, 269,724.96 and 69,000

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Solution

The fourth proportional to 179,808, 269,724.96 and 69,000 is: 103,504.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,808 : 269,724.96 = 69,000 : x
  2. Step 2: Convert to fraction form
    179,808/269,724.96 = 69,000/x
  3. Step 3: Cross multiply
    179,808x = 269,724.96 × 69,000
  4. Step 4: Simplify right side
    179,808x = 18,611,022,240
  5. Step 5: Solve for x
    x = 18,611,022,240/179,808
  6. Step 6: Final answer
    x = 103,504.97

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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.