Finding the Fourth Proportional to 205,235.79, 283,272.63 and 120,380.19
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Solution
The fourth proportional to 205,235.79, 283,272.63 and 120,380.19 is: 166,152.37
Step by Step Solution
- Step 1: Write the proportion equation
205,235.79 : 283,272.63 = 120,380.19 : x - Step 2: Convert to fraction form
205,235.79/283,272.63 = 120,380.19/x - Step 3: Cross multiply
205,235.79x = 283,272.63 × 120,380.19 - Step 4: Simplify right side
205,235.79x = 34,100,413,021.20 - Step 5: Solve for x
x = 34,100,413,021.20/205,235.79 - Step 6: Final answer
x = 166,152.37
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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.