Finding the Fourth Proportional to 206,710.84, 309,844.50 and 106,843.96
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Solution
The fourth proportional to 206,710.84, 309,844.50 and 106,843.96 is: 160,151.32
Step by Step Solution
- Step 1: Write the proportion equation
206,710.84 : 309,844.50 = 106,843.96 : x - Step 2: Convert to fraction form
206,710.84/309,844.50 = 106,843.96/x - Step 3: Cross multiply
206,710.84x = 309,844.50 × 106,843.96 - Step 4: Simplify right side
206,710.84x = 33,105,013,364.22 - Step 5: Solve for x
x = 33,105,013,364.22/206,710.84 - Step 6: Final answer
x = 160,151.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.