Finding the Fourth Proportional to 205,734.24, 308,283.84 and 138,912.48
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Solution
The fourth proportional to 205,734.24, 308,283.84 and 138,912.48 is: 208,154.33
Step by Step Solution
- Step 1: Write the proportion equation
205,734.24 : 308,283.84 = 138,912.48 : x - Step 2: Convert to fraction form
205,734.24/308,283.84 = 138,912.48/x - Step 3: Cross multiply
205,734.24x = 308,283.84 × 138,912.48 - Step 4: Simplify right side
205,734.24x = 42,824,472,758.32 - Step 5: Solve for x
x = 42,824,472,758.32/205,734.24 - Step 6: Final answer
x = 208,154.33
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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.