Finding the Fourth Proportional to 207,778.40, 311,713.84 and 96,909.92
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Solution
The fourth proportional to 207,778.40, 311,713.84 and 96,909.92 is: 145,386.45
Step by Step Solution
- Step 1: Write the proportion equation
207,778.40 : 311,713.84 = 96,909.92 : x - Step 2: Convert to fraction form
207,778.40/311,713.84 = 96,909.92/x - Step 3: Cross multiply
207,778.40x = 311,713.84 × 96,909.92 - Step 4: Simplify right side
207,778.40x = 30,208,163,297.29 - Step 5: Solve for x
x = 30,208,163,297.29/207,778.40 - Step 6: Final answer
x = 145,386.45
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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.