Finding the Fourth Proportional to 83,842.26, 115,668.17 and 47,536.05
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Solution
The fourth proportional to 83,842.26, 115,668.17 and 47,536.05 is: 65,580.39
Step by Step Solution
- Step 1: Write the proportion equation
83,842.26 : 115,668.17 = 47,536.05 : x - Step 2: Convert to fraction form
83,842.26/115,668.17 = 47,536.05/x - Step 3: Cross multiply
83,842.26x = 115,668.17 × 47,536.05 - Step 4: Simplify right side
83,842.26x = 5,498,407,912.53 - Step 5: Solve for x
x = 5,498,407,912.53/83,842.26 - Step 6: Final answer
x = 65,580.39
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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.