Finding the Fourth Proportional to 121,742.94, 182,360.46 and 97,921.84
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Solution
The fourth proportional to 121,742.94, 182,360.46 and 97,921.84 is: 146,678.50
Step by Step Solution
- Step 1: Write the proportion equation
121,742.94 : 182,360.46 = 97,921.84 : x - Step 2: Convert to fraction form
121,742.94/182,360.46 = 97,921.84/x - Step 3: Cross multiply
121,742.94x = 182,360.46 × 97,921.84 - Step 4: Simplify right side
121,742.94x = 17,857,071,786.45 - Step 5: Solve for x
x = 17,857,071,786.45/121,742.94 - Step 6: Final answer
x = 146,678.50
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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.