Finding the Fourth Proportional to 149,686.14, 206,566.82 and 102,022.73
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Solution
The fourth proportional to 149,686.14, 206,566.82 and 102,022.73 is: 140,791.32
Step by Step Solution
- Step 1: Write the proportion equation
149,686.14 : 206,566.82 = 102,022.73 : x - Step 2: Convert to fraction form
149,686.14/206,566.82 = 102,022.73/x - Step 3: Cross multiply
149,686.14x = 206,566.82 × 102,022.73 - Step 4: Simplify right side
149,686.14x = 21,074,509,870.98 - Step 5: Solve for x
x = 21,074,509,870.98/149,686.14 - Step 6: Final answer
x = 140,791.32
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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.