Finding the Fourth Proportional to 151,578,882,828.16, 209,170,571,212 and 82,977,024,837.76
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Solution
The fourth proportional to 151,578,882,828.16, 209,170,571,212 and 82,977,024,837.76 is: 114,503,757,772.53
Step by Step Solution
- Step 1: Write the proportion equation
151,578,882,828.16 : 209,170,571,212 = 82,977,024,837.76 : x - Step 2: Convert to fraction form
151,578,882,828.16/209,170,571,212 = 82,977,024,837.76/x - Step 3: Cross multiply
151,578,882,828.16x = 209,170,571,212 × 82,977,024,837.76 - Step 4: Simplify right side
151,578,882,828.16x = 17,356,351,682,786,568,962,048 - Step 5: Solve for x
x = 17,356,351,682,786,568,962,048/151,578,882,828.16 - Step 6: Final answer
x = 114,503,757,772.53
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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.