Finding the Fourth Proportional to 105,219.46, 145,202.84 and 57,472.92
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Solution
The fourth proportional to 105,219.46, 145,202.84 and 57,472.92 is: 79,312.62
Step by Step Solution
- Step 1: Write the proportion equation
105,219.46 : 145,202.84 = 57,472.92 : x - Step 2: Convert to fraction form
105,219.46/145,202.84 = 57,472.92/x - Step 3: Cross multiply
105,219.46x = 145,202.84 × 57,472.92 - Step 4: Simplify right side
105,219.46x = 8,345,231,207.09 - Step 5: Solve for x
x = 8,345,231,207.09/105,219.46 - Step 6: Final answer
x = 79,312.62
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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.