Finding the Fourth Proportional to 100,228.24, 138,315.14 and 54,905.23
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Solution
The fourth proportional to 100,228.24, 138,315.14 and 54,905.23 is: 75,769.31
Step by Step Solution
- Step 1: Write the proportion equation
100,228.24 : 138,315.14 = 54,905.23 : x - Step 2: Convert to fraction form
100,228.24/138,315.14 = 54,905.23/x - Step 3: Cross multiply
100,228.24x = 138,315.14 × 54,905.23 - Step 4: Simplify right side
100,228.24x = 7,594,224,678.44 - Step 5: Solve for x
x = 7,594,224,678.44/100,228.24 - Step 6: Final answer
x = 75,769.31
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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.