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Finding the Fourth Proportional to 69,903.12, 104,855.36 and 19,982.87

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Solution

The fourth proportional to 69,903.12, 104,855.36 and 19,982.87 is: 29,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,903.12 : 104,855.36 = 19,982.87 : x
  2. Step 2: Convert to fraction form
    69,903.12/104,855.36 = 19,982.87/x
  3. Step 3: Cross multiply
    69,903.12x = 104,855.36 × 19,982.87
  4. Step 4: Simplify right side
    69,903.12x = 2,095,311,027.68
  5. Step 5: Solve for x
    x = 2,095,311,027.68/69,903.12
  6. Step 6: Final answer
    x = 29,974.50

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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.