Finding the Fourth Proportional to 142,827.12, 214,369.16 and 76,324.09
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Solution
The fourth proportional to 142,827.12, 214,369.16 and 76,324.09 is: 114,554.79
Step by Step Solution
- Step 1: Write the proportion equation
142,827.12 : 214,369.16 = 76,324.09 : x - Step 2: Convert to fraction form
142,827.12/214,369.16 = 76,324.09/x - Step 3: Cross multiply
142,827.12x = 214,369.16 × 76,324.09 - Step 4: Simplify right side
142,827.12x = 16,361,531,061.06 - Step 5: Solve for x
x = 16,361,531,061.06/142,827.12 - Step 6: Final answer
x = 114,554.79
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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.