Finding the Fourth Proportional to 71,826.42, 107,689.57 and 31,823.66
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Solution
The fourth proportional to 71,826.42, 107,689.57 and 31,823.66 is: 47,713.31
Step by Step Solution
- Step 1: Write the proportion equation
71,826.42 : 107,689.57 = 31,823.66 : x - Step 2: Convert to fraction form
71,826.42/107,689.57 = 31,823.66/x - Step 3: Cross multiply
71,826.42x = 107,689.57 × 31,823.66 - Step 4: Simplify right side
71,826.42x = 3,427,076,261.23 - Step 5: Solve for x
x = 3,427,076,261.23/71,826.42 - Step 6: Final answer
x = 47,713.31
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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.