Finding the Fourth Proportional to 105,847.80, 158,771.70 and 76,201.80
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Solution
The fourth proportional to 105,847.80, 158,771.70 and 76,201.80 is: 114,302.70
Step by Step Solution
- Step 1: Write the proportion equation
105,847.80 : 158,771.70 = 76,201.80 : x - Step 2: Convert to fraction form
105,847.80/158,771.70 = 76,201.80/x - Step 3: Cross multiply
105,847.80x = 158,771.70 × 76,201.80 - Step 4: Simplify right side
105,847.80x = 12,098,689,329.06 - Step 5: Solve for x
x = 12,098,689,329.06/105,847.80 - Step 6: Final answer
x = 114,302.70
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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.