Finding the Fourth Proportional to 106,786.26, 160,177.23 and 31,906.62
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Solution
The fourth proportional to 106,786.26, 160,177.23 and 31,906.62 is: 47,859.28
Step by Step Solution
- Step 1: Write the proportion equation
106,786.26 : 160,177.23 = 31,906.62 : x - Step 2: Convert to fraction form
106,786.26/160,177.23 = 31,906.62/x - Step 3: Cross multiply
106,786.26x = 160,177.23 × 31,906.62 - Step 4: Simplify right side
106,786.26x = 5,110,714,010.26 - Step 5: Solve for x
x = 5,110,714,010.26/106,786.26 - Step 6: Final answer
x = 47,859.28
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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.