Finding the Fourth Proportional to 98,523.14, 147,806.33 and 31,969.98
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Solution
The fourth proportional to 98,523.14, 147,806.33 and 31,969.98 is: 47,961.99
Step by Step Solution
- Step 1: Write the proportion equation
98,523.14 : 147,806.33 = 31,969.98 : x - Step 2: Convert to fraction form
98,523.14/147,806.33 = 31,969.98/x - Step 3: Cross multiply
98,523.14x = 147,806.33 × 31,969.98 - Step 4: Simplify right side
98,523.14x = 4,725,365,254.12 - Step 5: Solve for x
x = 4,725,365,254.12/98,523.14 - Step 6: Final answer
x = 47,961.99
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1.5x scale
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.