Finding the Fourth Proportional to 120,257.44, 165,943.97 and 81,416.26
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Solution
The fourth proportional to 120,257.44, 165,943.97 and 81,416.26 is: 112,346.78
Step by Step Solution
- Step 1: Write the proportion equation
120,257.44 : 165,943.97 = 81,416.26 : x - Step 2: Convert to fraction form
120,257.44/165,943.97 = 81,416.26/x - Step 3: Cross multiply
120,257.44x = 165,943.97 × 81,416.26 - Step 4: Simplify right side
120,257.44x = 13,510,536,170.15 - Step 5: Solve for x
x = 13,510,536,170.15/120,257.44 - Step 6: Final answer
x = 112,346.78
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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.