Finding the Fourth Proportional to 208,971.84, 313,405.92 and 98,137.92
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Solution
The fourth proportional to 208,971.84, 313,405.92 and 98,137.92 is: 147,182.53
Step by Step Solution
- Step 1: Write the proportion equation
208,971.84 : 313,405.92 = 98,137.92 : x - Step 2: Convert to fraction form
208,971.84/313,405.92 = 98,137.92/x - Step 3: Cross multiply
208,971.84x = 313,405.92 × 98,137.92 - Step 4: Simplify right side
208,971.84x = 30,757,005,104.49 - Step 5: Solve for x
x = 30,757,005,104.49/208,971.84 - Step 6: Final answer
x = 147,182.53
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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.