Finding the Fourth Proportional to 82,809,278.78, 114,277,247.84 and 47,524,270.19
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Solution
The fourth proportional to 82,809,278.78, 114,277,247.84 and 47,524,270.19 is: 65,583,747.17
Step by Step Solution
- Step 1: Write the proportion equation
82,809,278.78 : 114,277,247.84 = 47,524,270.19 : x - Step 2: Convert to fraction form
82,809,278.78/114,277,247.84 = 47,524,270.19/x - Step 3: Cross multiply
82,809,278.78x = 114,277,247.84 × 47,524,270.19 - Step 4: Simplify right side
82,809,278.78x = 5,430,942,802,917,754 - Step 5: Solve for x
x = 5,430,942,802,917,754/82,809,278.78 - Step 6: Final answer
x = 65,583,747.17
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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.