Finding the Fourth Proportional to 205,476.60, 283,578.12 and 120,591.84
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Solution
The fourth proportional to 205,476.60, 283,578.12 and 120,591.84 is: 166,428.72
Step by Step Solution
- Step 1: Write the proportion equation
205,476.60 : 283,578.12 = 120,591.84 : x - Step 2: Convert to fraction form
205,476.60/283,578.12 = 120,591.84/x - Step 3: Cross multiply
205,476.60x = 283,578.12 × 120,591.84 - Step 4: Simplify right side
205,476.60x = 34,197,207,274.54 - Step 5: Solve for x
x = 34,197,207,274.54/205,476.60 - Step 6: Final answer
x = 166,428.72
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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.