Finding the Fourth Proportional to 82,195.74, 113,431.05 and 46,386.18
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Solution
The fourth proportional to 82,195.74, 113,431.05 and 46,386.18 is: 64,013.45
Step by Step Solution
- Step 1: Write the proportion equation
82,195.74 : 113,431.05 = 46,386.18 : x - Step 2: Convert to fraction form
82,195.74/113,431.05 = 46,386.18/x - Step 3: Cross multiply
82,195.74x = 113,431.05 × 46,386.18 - Step 4: Simplify right side
82,195.74x = 5,261,633,102.89 - Step 5: Solve for x
x = 5,261,633,102.89/82,195.74 - Step 6: Final answer
x = 64,013.45
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1.5x scale
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.