Finding the Fourth Proportional to 83,782.75, 115,620.21 and 47,984.62
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Solution
The fourth proportional to 83,782.75, 115,620.21 and 47,984.62 is: 66,218.78
Step by Step Solution
- Step 1: Write the proportion equation
83,782.75 : 115,620.21 = 47,984.62 : x - Step 2: Convert to fraction form
83,782.75/115,620.21 = 47,984.62/x - Step 3: Cross multiply
83,782.75x = 115,620.21 × 47,984.62 - Step 4: Simplify right side
83,782.75x = 5,547,991,841.17 - Step 5: Solve for x
x = 5,547,991,841.17/83,782.75 - Step 6: Final answer
x = 66,218.78
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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.