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Finding the Fourth Proportional to 208,761.26, 313,198.38 and 148,865.40

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Solution

The fourth proportional to 208,761.26, 313,198.38 and 148,865.40 is: 223,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,761.26 : 313,198.38 = 148,865.40 : x
  2. Step 2: Convert to fraction form
    208,761.26/313,198.38 = 148,865.40/x
  3. Step 3: Cross multiply
    208,761.26x = 313,198.38 × 148,865.40
  4. Step 4: Simplify right side
    208,761.26x = 46,624,402,118.05
  5. Step 5: Solve for x
    x = 46,624,402,118.05/208,761.26
  6. Step 6: Final answer
    x = 223,338.39

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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.