Finding the Fourth Proportional to 206,823.24, 285,371.78 and 120,743.12
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Solution
The fourth proportional to 206,823.24, 285,371.78 and 120,743.12 is: 166,599.65
Step by Step Solution
- Step 1: Write the proportion equation
206,823.24 : 285,371.78 = 120,743.12 : x - Step 2: Convert to fraction form
206,823.24/285,371.78 = 120,743.12/x - Step 3: Cross multiply
206,823.24x = 285,371.78 × 120,743.12 - Step 4: Simplify right side
206,823.24x = 34,456,679,077.15 - Step 5: Solve for x
x = 34,456,679,077.15/206,823.24 - Step 6: Final answer
x = 166,599.65
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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.