Finding the Fourth Proportional to 206,415.24, 284,934.06 and 138,407.37
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Solution
The fourth proportional to 206,415.24, 284,934.06 and 138,407.37 is: 191,056.50
Step by Step Solution
- Step 1: Write the proportion equation
206,415.24 : 284,934.06 = 138,407.37 : x - Step 2: Convert to fraction form
206,415.24/284,934.06 = 138,407.37/x - Step 3: Cross multiply
206,415.24x = 284,934.06 × 138,407.37 - Step 4: Simplify right side
206,415.24x = 39,436,973,868.02 - Step 5: Solve for x
x = 39,436,973,868.02/206,415.24 - Step 6: Final answer
x = 191,056.50
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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.