Finding the Fourth Proportional to 149,986.44, 206,767.62 and 102,178.62
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Solution
The fourth proportional to 149,986.44, 206,767.62 and 102,178.62 is: 140,860.93
Step by Step Solution
- Step 1: Write the proportion equation
149,986.44 : 206,767.62 = 102,178.62 : x - Step 2: Convert to fraction form
149,986.44/206,767.62 = 102,178.62/x - Step 3: Cross multiply
149,986.44x = 206,767.62 × 102,178.62 - Step 4: Simplify right side
149,986.44x = 21,127,230,072.28 - Step 5: Solve for x
x = 21,127,230,072.28/149,986.44 - Step 6: Final answer
x = 140,860.93
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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.