Finding the Fourth Proportional to 202,787.28, 304,206.84 and 78,163.92
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Solution
The fourth proportional to 202,787.28, 304,206.84 and 78,163.92 is: 117,255.87
Step by Step Solution
- Step 1: Write the proportion equation
202,787.28 : 304,206.84 = 78,163.92 : x - Step 2: Convert to fraction form
202,787.28/304,206.84 = 78,163.92/x - Step 3: Cross multiply
202,787.28x = 304,206.84 × 78,163.92 - Step 4: Simplify right side
202,787.28x = 23,777,999,105.21 - Step 5: Solve for x
x = 23,777,999,105.21/202,787.28 - Step 6: Final answer
x = 117,255.87
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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.