Finding the Fourth Proportional to 205,731.96, 283,874.40 and 120,866.64
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Solution
The fourth proportional to 205,731.96, 283,874.40 and 120,866.64 is: 166,774.99
Step by Step Solution
- Step 1: Write the proportion equation
205,731.96 : 283,874.40 = 120,866.64 : x - Step 2: Convert to fraction form
205,731.96/283,874.40 = 120,866.64/x - Step 3: Cross multiply
205,731.96x = 283,874.40 × 120,866.64 - Step 4: Simplify right side
205,731.96x = 34,310,944,910.02 - Step 5: Solve for x
x = 34,310,944,910.02/205,731.96 - Step 6: Final answer
x = 166,774.99
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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.