Finding the Fourth Proportional to 114,868.19, 172,282.84 and 31,742.75
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Solution
The fourth proportional to 114,868.19, 172,282.84 and 31,742.75 is: 47,608.75
Step by Step Solution
- Step 1: Write the proportion equation
114,868.19 : 172,282.84 = 31,742.75 : x - Step 2: Convert to fraction form
114,868.19/172,282.84 = 31,742.75/x - Step 3: Cross multiply
114,868.19x = 172,282.84 × 31,742.75 - Step 4: Simplify right side
114,868.19x = 5,468,731,119.41 - Step 5: Solve for x
x = 5,468,731,119.41/114,868.19 - Step 6: Final answer
x = 47,608.75
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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.