Finding the Fourth Proportional to 206,882.84, 310,318.04 and 57,132.26
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Solution
The fourth proportional to 206,882.84, 310,318.04 and 57,132.26 is: 85,696.67
Step by Step Solution
- Step 1: Write the proportion equation
206,882.84 : 310,318.04 = 57,132.26 : x - Step 2: Convert to fraction form
206,882.84/310,318.04 = 57,132.26/x - Step 3: Cross multiply
206,882.84x = 310,318.04 × 57,132.26 - Step 4: Simplify right side
206,882.84x = 17,729,170,943.97 - Step 5: Solve for x
x = 17,729,170,943.97/206,882.84 - Step 6: Final answer
x = 85,696.67
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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.