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Finding the Fourth Proportional to 139,876.39, 209,835.43 and 49,912.09

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Solution

The fourth proportional to 139,876.39, 209,835.43 and 49,912.09 is: 74,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,876.39 : 209,835.43 = 49,912.09 : x
  2. Step 2: Convert to fraction form
    139,876.39/209,835.43 = 49,912.09/x
  3. Step 3: Cross multiply
    139,876.39x = 209,835.43 × 49,912.09
  4. Step 4: Simplify right side
    139,876.39x = 10,473,324,217.98
  5. Step 5: Solve for x
    x = 10,473,324,217.98/139,876.39
  6. Step 6: Final answer
    x = 74,875.57

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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.