Finding the Fourth Proportional to 206,221,389.12, 284,586,997.44 and 112,134,861.84
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Solution
The fourth proportional to 206,221,389.12, 284,586,997.44 and 112,134,861.84 is: 154,746,914.35
Step by Step Solution
- Step 1: Write the proportion equation
206,221,389.12 : 284,586,997.44 = 112,134,861.84 : x - Step 2: Convert to fraction form
206,221,389.12/284,586,997.44 = 112,134,861.84/x - Step 3: Cross multiply
206,221,389.12x = 284,586,997.44 × 112,134,861.84 - Step 4: Simplify right side
206,221,389.12x = 31,912,123,639,394,836 - Step 5: Solve for x
x = 31,912,123,639,394,836/206,221,389.12 - Step 6: Final answer
x = 154,746,914.35
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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.