Finding the Fourth Proportional to 81,759.26, 122,673.74 and 31,874.46
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Solution
The fourth proportional to 81,759.26, 122,673.74 and 31,874.46 is: 47,825.28
Step by Step Solution
- Step 1: Write the proportion equation
81,759.26 : 122,673.74 = 31,874.46 : x - Step 2: Convert to fraction form
81,759.26/122,673.74 = 31,874.46/x - Step 3: Cross multiply
81,759.26x = 122,673.74 × 31,874.46 - Step 4: Simplify right side
81,759.26x = 3,910,159,059.31 - Step 5: Solve for x
x = 3,910,159,059.31/81,759.26 - Step 6: Final answer
x = 47,825.28
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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.