Finding the Fourth Proportional to 205,696.18, 283,856.97 and 116,272.18
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Solution
The fourth proportional to 205,696.18, 283,856.97 and 116,272.18 is: 160,453.48
Step by Step Solution
- Step 1: Write the proportion equation
205,696.18 : 283,856.97 = 116,272.18 : x - Step 2: Convert to fraction form
205,696.18/283,856.97 = 116,272.18/x - Step 3: Cross multiply
205,696.18x = 283,856.97 × 116,272.18 - Step 4: Simplify right side
205,696.18x = 33,004,668,710.09 - Step 5: Solve for x
x = 33,004,668,710.09/205,696.18 - Step 6: Final answer
x = 160,453.48
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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.