Finding the Fourth Proportional to 105,226.44, 157,862.99 and 30,340.75
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Solution
The fourth proportional to 105,226.44, 157,862.99 and 30,340.75 is: 45,517.85
Step by Step Solution
- Step 1: Write the proportion equation
105,226.44 : 157,862.99 = 30,340.75 : x - Step 2: Convert to fraction form
105,226.44/157,862.99 = 30,340.75/x - Step 3: Cross multiply
105,226.44x = 157,862.99 × 30,340.75 - Step 4: Simplify right side
105,226.44x = 4,789,681,513.84 - Step 5: Solve for x
x = 4,789,681,513.84/105,226.44 - Step 6: Final answer
x = 45,517.85
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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.