Finding the Fourth Proportional to 180,478.08, 270,778.64 and 54,121.41
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Solution
The fourth proportional to 180,478.08, 270,778.64 and 54,121.41 is: 81,200.56
Step by Step Solution
- Step 1: Write the proportion equation
180,478.08 : 270,778.64 = 54,121.41 : x - Step 2: Convert to fraction form
180,478.08/270,778.64 = 54,121.41/x - Step 3: Cross multiply
180,478.08x = 270,778.64 × 54,121.41 - Step 4: Simplify right side
180,478.08x = 14,654,921,524.08 - Step 5: Solve for x
x = 14,654,921,524.08/180,478.08 - Step 6: Final answer
x = 81,200.56
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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.