Finding the Fourth Proportional to 137,305.44, 189,424.64 and 83,582.96
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Solution
The fourth proportional to 137,305.44, 189,424.64 and 83,582.96 is: 115,309.87
Step by Step Solution
- Step 1: Write the proportion equation
137,305.44 : 189,424.64 = 83,582.96 : x - Step 2: Convert to fraction form
137,305.44/189,424.64 = 83,582.96/x - Step 3: Cross multiply
137,305.44x = 189,424.64 × 83,582.96 - Step 4: Simplify right side
137,305.44x = 15,832,672,108.13 - Step 5: Solve for x
x = 15,832,672,108.13/137,305.44 - Step 6: Final answer
x = 115,309.87
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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.