Finding the Fourth Proportional to 205,892.97, 284,137.11 and 115,246.68
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Solution
The fourth proportional to 205,892.97, 284,137.11 and 115,246.68 is: 159,043.11
Step by Step Solution
- Step 1: Write the proportion equation
205,892.97 : 284,137.11 = 115,246.68 : x - Step 2: Convert to fraction form
205,892.97/284,137.11 = 115,246.68/x - Step 3: Cross multiply
205,892.97x = 284,137.11 × 115,246.68 - Step 4: Simplify right side
205,892.97x = 32,745,858,592.29 - Step 5: Solve for x
x = 32,745,858,592.29/205,892.97 - Step 6: Final answer
x = 159,043.11
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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.