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Finding the Fourth Proportional to 139,138.91, 208,724.99 and 49,163

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Solution

The fourth proportional to 139,138.91, 208,724.99 and 49,163 is: 73,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,138.91 : 208,724.99 = 49,163 : x
  2. Step 2: Convert to fraction form
    139,138.91/208,724.99 = 49,163/x
  3. Step 3: Cross multiply
    139,138.91x = 208,724.99 × 49,163
  4. Step 4: Simplify right side
    139,138.91x = 10,261,546,683.37
  5. Step 5: Solve for x
    x = 10,261,546,683.37/139,138.91
  6. Step 6: Final answer
    x = 73,750.37

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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.