Finding the Fourth Proportional to 83,233.09, 114,861.77 and 47,422.99
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Solution
The fourth proportional to 83,233.09, 114,861.77 and 47,422.99 is: 65,443.79
Step by Step Solution
- Step 1: Write the proportion equation
83,233.09 : 114,861.77 = 47,422.99 : x - Step 2: Convert to fraction form
83,233.09/114,861.77 = 47,422.99/x - Step 3: Cross multiply
83,233.09x = 114,861.77 × 47,422.99 - Step 4: Simplify right side
83,233.09x = 5,447,088,570.09 - Step 5: Solve for x
x = 5,447,088,570.09/83,233.09 - Step 6: Final answer
x = 65,443.79
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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.