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Finding the Fourth Proportional to 139,906.44, 209,889.63 and 45,142.04

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Solution

The fourth proportional to 139,906.44, 209,889.63 and 45,142.04 is: 67,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,906.44 : 209,889.63 = 45,142.04 : x
  2. Step 2: Convert to fraction form
    139,906.44/209,889.63 = 45,142.04/x
  3. Step 3: Cross multiply
    139,906.44x = 209,889.63 × 45,142.04
  4. Step 4: Simplify right side
    139,906.44x = 9,474,846,597.77
  5. Step 5: Solve for x
    x = 9,474,846,597.77/139,906.44
  6. Step 6: Final answer
    x = 67,722.73

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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.