Finding the Fourth Proportional to 76,182.29, 114,286.69 and 31,840.19
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Solution
The fourth proportional to 76,182.29, 114,286.69 and 31,840.19 is: 47,765.82
Step by Step Solution
- Step 1: Write the proportion equation
76,182.29 : 114,286.69 = 31,840.19 : x - Step 2: Convert to fraction form
76,182.29/114,286.69 = 31,840.19/x - Step 3: Cross multiply
76,182.29x = 114,286.69 × 31,840.19 - Step 4: Simplify right side
76,182.29x = 3,638,909,352.64 - Step 5: Solve for x
x = 3,638,909,352.64/76,182.29 - Step 6: Final answer
x = 47,765.82
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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.