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Finding the Fourth Proportional to 139,974.50, 209,982.90 and 45,173

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Solution

The fourth proportional to 139,974.50, 209,982.90 and 45,173 is: 67,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,974.50 : 209,982.90 = 45,173 : x
  2. Step 2: Convert to fraction form
    139,974.50/209,982.90 = 45,173/x
  3. Step 3: Cross multiply
    139,974.50x = 209,982.90 × 45,173
  4. Step 4: Simplify right side
    139,974.50x = 9,485,557,541.70
  5. Step 5: Solve for x
    x = 9,485,557,541.70/139,974.50
  6. Step 6: Final answer
    x = 67,766.33

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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.