Finding the Fourth Proportional to 76,361.97, 114,543.34 and 31,407.84
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Solution
The fourth proportional to 76,361.97, 114,543.34 and 31,407.84 is: 47,111.92
Step by Step Solution
- Step 1: Write the proportion equation
76,361.97 : 114,543.34 = 31,407.84 : x - Step 2: Convert to fraction form
76,361.97/114,543.34 = 31,407.84/x - Step 3: Cross multiply
76,361.97x = 114,543.34 × 31,407.84 - Step 4: Simplify right side
76,361.97x = 3,597,559,025.10 - Step 5: Solve for x
x = 3,597,559,025.10/76,361.97 - Step 6: Final answer
x = 47,111.92
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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.