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Finding the Fourth Proportional to 69,149.50, 103,724.35 and 19,229.60

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Solution

The fourth proportional to 69,149.50, 103,724.35 and 19,229.60 is: 28,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,149.50 : 103,724.35 = 19,229.60 : x
  2. Step 2: Convert to fraction form
    69,149.50/103,724.35 = 19,229.60/x
  3. Step 3: Cross multiply
    69,149.50x = 103,724.35 × 19,229.60
  4. Step 4: Simplify right side
    69,149.50x = 1,994,577,972.00
  5. Step 5: Solve for x
    x = 1,994,577,972.00/69,149.50
  6. Step 6: Final answer
    x = 28,844.43

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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.