Finding the Fourth Proportional to 149,894.07, 206,853.84 and 82,826.07
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Solution
The fourth proportional to 149,894.07, 206,853.84 and 82,826.07 is: 114,299.99
Step by Step Solution
- Step 1: Write the proportion equation
149,894.07 : 206,853.84 = 82,826.07 : x - Step 2: Convert to fraction form
149,894.07/206,853.84 = 82,826.07/x - Step 3: Cross multiply
149,894.07x = 206,853.84 × 82,826.07 - Step 4: Simplify right side
149,894.07x = 17,132,890,631.61 - Step 5: Solve for x
x = 17,132,890,631.61/149,894.07 - Step 6: Final answer
x = 114,299.99
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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.