Finding the Fourth Proportional to 305,742.14, 458,644.65 and 81,102.84
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Solution
The fourth proportional to 305,742.14, 458,644.65 and 81,102.84 is: 121,662.61
Step by Step Solution
- Step 1: Write the proportion equation
305,742.14 : 458,644.65 = 81,102.84 : x - Step 2: Convert to fraction form
305,742.14/458,644.65 = 81,102.84/x - Step 3: Cross multiply
305,742.14x = 458,644.65 × 81,102.84 - Step 4: Simplify right side
305,742.14x = 37,197,386,195.87 - Step 5: Solve for x
x = 37,197,386,195.87/305,742.14 - Step 6: Final answer
x = 121,662.61
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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.