Finding the Fourth Proportional to 209,021.90, 288,538.45 and 141,130.74
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Solution
The fourth proportional to 209,021.90, 288,538.45 and 141,130.74 is: 194,819.99
Step by Step Solution
- Step 1: Write the proportion equation
209,021.90 : 288,538.45 = 141,130.74 : x - Step 2: Convert to fraction form
209,021.90/288,538.45 = 141,130.74/x - Step 3: Cross multiply
209,021.90x = 288,538.45 × 141,130.74 - Step 4: Simplify right side
209,021.90x = 40,721,644,614.13 - Step 5: Solve for x
x = 40,721,644,614.13/209,021.90 - Step 6: Final answer
x = 194,819.99
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1.5x scale
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.