Finding the Fourth Proportional to 214,842.28, 322,285.74 and 102,503.56
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Solution
The fourth proportional to 214,842.28, 322,285.74 and 102,503.56 is: 153,765.99
Step by Step Solution
- Step 1: Write the proportion equation
214,842.28 : 322,285.74 = 102,503.56 : x - Step 2: Convert to fraction form
214,842.28/322,285.74 = 102,503.56/x - Step 3: Cross multiply
214,842.28x = 322,285.74 × 102,503.56 - Step 4: Simplify right side
214,842.28x = 33,035,435,687.23 - Step 5: Solve for x
x = 33,035,435,687.23/214,842.28 - Step 6: Final answer
x = 153,765.99
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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.