Finding the Fourth Proportional to 205,523.14, 283,623.88 and 120,641.62
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Solution
The fourth proportional to 205,523.14, 283,623.88 and 120,641.62 is: 166,486.58
Step by Step Solution
- Step 1: Write the proportion equation
205,523.14 : 283,623.88 = 120,641.62 : x - Step 2: Convert to fraction form
205,523.14/283,623.88 = 120,641.62/x - Step 3: Cross multiply
205,523.14x = 283,623.88 × 120,641.62 - Step 4: Simplify right side
205,523.14x = 34,216,844,353.89 - Step 5: Solve for x
x = 34,216,844,353.89/205,523.14 - Step 6: Final answer
x = 166,486.58
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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.