Finding the Fourth Proportional to 195,872.96, 270,304.80 and 106,448.96
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Solution
The fourth proportional to 195,872.96, 270,304.80 and 106,448.96 is: 146,899.63
Step by Step Solution
- Step 1: Write the proportion equation
195,872.96 : 270,304.80 = 106,448.96 : x - Step 2: Convert to fraction form
195,872.96/270,304.80 = 106,448.96/x - Step 3: Cross multiply
195,872.96x = 270,304.80 × 106,448.96 - Step 4: Simplify right side
195,872.96x = 28,773,664,843.01 - Step 5: Solve for x
x = 28,773,664,843.01/195,872.96 - Step 6: Final answer
x = 146,899.63
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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.