Finding the Fourth Proportional to 83,028.75, 114,568.11 and 47,214.80
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Solution
The fourth proportional to 83,028.75, 114,568.11 and 47,214.80 is: 65,149.84
Step by Step Solution
- Step 1: Write the proportion equation
83,028.75 : 114,568.11 = 47,214.80 : x - Step 2: Convert to fraction form
83,028.75/114,568.11 = 47,214.80/x - Step 3: Cross multiply
83,028.75x = 114,568.11 × 47,214.80 - Step 4: Simplify right side
83,028.75x = 5,409,309,827.19 - Step 5: Solve for x
x = 5,409,309,827.19/83,028.75 - Step 6: Final answer
x = 65,149.84
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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.