Finding the Fourth Proportional to 205,891.80, 284,106.78 and 115,252.68
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Solution
The fourth proportional to 205,891.80, 284,106.78 and 115,252.68 is: 159,035.32
Step by Step Solution
- Step 1: Write the proportion equation
205,891.80 : 284,106.78 = 115,252.68 : x - Step 2: Convert to fraction form
205,891.80/284,106.78 = 115,252.68/x - Step 3: Cross multiply
205,891.80x = 284,106.78 × 115,252.68 - Step 4: Simplify right side
205,891.80x = 32,744,067,801.17 - Step 5: Solve for x
x = 32,744,067,801.17/205,891.80 - Step 6: Final answer
x = 159,035.32
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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.