Finding the Fourth Proportional to 106,789.26, 160,181.73 and 31,909.62
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Solution
The fourth proportional to 106,789.26, 160,181.73 and 31,909.62 is: 47,863.78
Step by Step Solution
- Step 1: Write the proportion equation
106,789.26 : 160,181.73 = 31,909.62 : x - Step 2: Convert to fraction form
106,789.26/160,181.73 = 31,909.62/x - Step 3: Cross multiply
106,789.26x = 160,181.73 × 31,909.62 - Step 4: Simplify right side
106,789.26x = 5,111,338,135.24 - Step 5: Solve for x
x = 5,111,338,135.24/106,789.26 - Step 6: Final answer
x = 47,863.78
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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.