Finding the Fourth Proportional to 105,723.68, 145,900.70 and 57,974.20
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Solution
The fourth proportional to 105,723.68, 145,900.70 and 57,974.20 is: 80,005.50
Step by Step Solution
- Step 1: Write the proportion equation
105,723.68 : 145,900.70 = 57,974.20 : x - Step 2: Convert to fraction form
105,723.68/145,900.70 = 57,974.20/x - Step 3: Cross multiply
105,723.68x = 145,900.70 × 57,974.20 - Step 4: Simplify right side
105,723.68x = 8,458,476,361.94 - Step 5: Solve for x
x = 8,458,476,361.94/105,723.68 - Step 6: Final answer
x = 80,005.50
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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.