Finding the Fourth Proportional to 206,352.16, 284,797.84 and 115,744.80
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Solution
The fourth proportional to 206,352.16, 284,797.84 and 115,744.80 is: 159,745.69
Step by Step Solution
- Step 1: Write the proportion equation
206,352.16 : 284,797.84 = 115,744.80 : x - Step 2: Convert to fraction form
206,352.16/284,797.84 = 115,744.80/x - Step 3: Cross multiply
206,352.16x = 284,797.84 × 115,744.80 - Step 4: Simplify right side
206,352.16x = 32,963,869,031.23 - Step 5: Solve for x
x = 32,963,869,031.23/206,352.16 - Step 6: Final answer
x = 159,745.69
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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.