Finding the Fourth Proportional to 82,355.84, 122,931.04 and 70,743.68
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Solution
The fourth proportional to 82,355.84, 122,931.04 and 70,743.68 is: 105,597.78
Step by Step Solution
- Step 1: Write the proportion equation
82,355.84 : 122,931.04 = 70,743.68 : x - Step 2: Convert to fraction form
82,355.84/122,931.04 = 70,743.68/x - Step 3: Cross multiply
82,355.84x = 122,931.04 × 70,743.68 - Step 4: Simplify right side
82,355.84x = 8,696,594,155.83 - Step 5: Solve for x
x = 8,696,594,155.83/82,355.84 - Step 6: Final answer
x = 105,597.78
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.