Finding the Fourth Proportional to 137,564.24, 206,404.68 and 75,161.84
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Solution
The fourth proportional to 137,564.24, 206,404.68 and 75,161.84 is: 112,774.62
Step by Step Solution
- Step 1: Write the proportion equation
137,564.24 : 206,404.68 = 75,161.84 : x - Step 2: Convert to fraction form
137,564.24/206,404.68 = 75,161.84/x - Step 3: Cross multiply
137,564.24x = 206,404.68 × 75,161.84 - Step 4: Simplify right side
137,564.24x = 15,513,755,533.41 - Step 5: Solve for x
x = 15,513,755,533.41/137,564.24 - Step 6: Final answer
x = 112,774.62
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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.