Finding the Fourth Proportional to 82,567.09, 113,962.98 and 46,778.19
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Solution
The fourth proportional to 82,567.09, 113,962.98 and 46,778.19 is: 64,565.46
Step by Step Solution
- Step 1: Write the proportion equation
82,567.09 : 113,962.98 = 46,778.19 : x - Step 2: Convert to fraction form
82,567.09/113,962.98 = 46,778.19/x - Step 3: Cross multiply
82,567.09x = 113,962.98 × 46,778.19 - Step 4: Simplify right side
82,567.09x = 5,330,981,931.41 - Step 5: Solve for x
x = 5,330,981,931.41/82,567.09 - Step 6: Final answer
x = 64,565.46
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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.