Finding the Fourth Proportional to 137,957.84, 190,383.09 and 83,511.26
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Solution
The fourth proportional to 137,957.84, 190,383.09 and 83,511.26 is: 115,246.31
Step by Step Solution
- Step 1: Write the proportion equation
137,957.84 : 190,383.09 = 83,511.26 : x - Step 2: Convert to fraction form
137,957.84/190,383.09 = 83,511.26/x - Step 3: Cross multiply
137,957.84x = 190,383.09 × 83,511.26 - Step 4: Simplify right side
137,957.84x = 15,899,131,728.59 - Step 5: Solve for x
x = 15,899,131,728.59/137,957.84 - Step 6: Final answer
x = 115,246.31
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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.