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Finding the Fourth Proportional to 208,396.49, 312,608.50 and 82,026.77

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Solution

The fourth proportional to 208,396.49, 312,608.50 and 82,026.77 is: 123,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,396.49 : 312,608.50 = 82,026.77 : x
  2. Step 2: Convert to fraction form
    208,396.49/312,608.50 = 82,026.77/x
  3. Step 3: Cross multiply
    208,396.49x = 312,608.50 × 82,026.77
  4. Step 4: Simplify right side
    208,396.49x = 25,642,263,761.44
  5. Step 5: Solve for x
    x = 25,642,263,761.44/208,396.49
  6. Step 6: Final answer
    x = 123,045.57

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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.