Finding the Fourth Proportional to 206,225,788.84, 284,596,982.25 and 112,145,438.18
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Solution
The fourth proportional to 206,225,788.84, 284,596,982.25 and 112,145,438.18 is: 154,763,637.75
Step by Step Solution
- Step 1: Write the proportion equation
206,225,788.84 : 284,596,982.25 = 112,145,438.18 : x - Step 2: Convert to fraction form
206,225,788.84/284,596,982.25 = 112,145,438.18/x - Step 3: Cross multiply
206,225,788.84x = 284,596,982.25 × 112,145,438.18 - Step 4: Simplify right side
206,225,788.84x = 31,916,253,279,131,936 - Step 5: Solve for x
x = 31,916,253,279,131,936/206,225,788.84 - Step 6: Final answer
x = 154,763,637.75
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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.