Finding the Fourth Proportional to 105,224,763.24, 145,213,231.86 and 57,542,820.84
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Solution
The fourth proportional to 105,224,763.24, 145,213,231.86 and 57,542,820.84 is: 79,410,765.37
Step by Step Solution
- Step 1: Write the proportion equation
105,224,763.24 : 145,213,231.86 = 57,542,820.84 : x - Step 2: Convert to fraction form
105,224,763.24/145,213,231.86 = 57,542,820.84/x - Step 3: Cross multiply
105,224,763.24x = 145,213,231.86 × 57,542,820.84 - Step 4: Simplify right side
105,224,763.24x = 8,355,978,984,517,361 - Step 5: Solve for x
x = 8,355,978,984,517,361/105,224,763.24 - Step 6: Final answer
x = 79,410,765.37
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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.