Finding the Fourth Proportional to 200,231.26, 276,419.12 and 115,331.92
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Solution
The fourth proportional to 200,231.26, 276,419.12 and 115,331.92 is: 159,215.63
Step by Step Solution
- Step 1: Write the proportion equation
200,231.26 : 276,419.12 = 115,331.92 : x - Step 2: Convert to fraction form
200,231.26/276,419.12 = 115,331.92/x - Step 3: Cross multiply
200,231.26x = 276,419.12 × 115,331.92 - Step 4: Simplify right side
200,231.26x = 31,879,946,566.60 - Step 5: Solve for x
x = 31,879,946,566.60/200,231.26 - Step 6: Final answer
x = 159,215.63
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.