Finding the Fourth Proportional to 164,142.24, 226,365.84 and 107,584.80
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Solution
The fourth proportional to 164,142.24, 226,365.84 and 107,584.80 is: 148,368.41
Step by Step Solution
- Step 1: Write the proportion equation
164,142.24 : 226,365.84 = 107,584.80 : x - Step 2: Convert to fraction form
164,142.24/226,365.84 = 107,584.80/x - Step 3: Cross multiply
164,142.24x = 226,365.84 × 107,584.80 - Step 4: Simplify right side
164,142.24x = 24,353,523,623.23 - Step 5: Solve for x
x = 24,353,523,623.23/164,142.24 - Step 6: Final answer
x = 148,368.41
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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.