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Finding the Fourth Proportional to 192,019.36, 287,724.48 and 139,181.44

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Solution

The fourth proportional to 192,019.36, 287,724.48 and 139,181.44 is: 208,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,019.36 : 287,724.48 = 139,181.44 : x
  2. Step 2: Convert to fraction form
    192,019.36/287,724.48 = 139,181.44/x
  3. Step 3: Cross multiply
    192,019.36x = 287,724.48 × 139,181.44
  4. Step 4: Simplify right side
    192,019.36x = 40,045,907,449.65
  5. Step 5: Solve for x
    x = 40,045,907,449.65/192,019.36
  6. Step 6: Final answer
    x = 208,551.41

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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.