Finding the Fourth Proportional to 205,911.72, 284,162.99 and 115,265.43
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Solution
The fourth proportional to 205,911.72, 284,162.99 and 115,265.43 is: 159,068.99
Step by Step Solution
- Step 1: Write the proportion equation
205,911.72 : 284,162.99 = 115,265.43 : x - Step 2: Convert to fraction form
205,911.72/284,162.99 = 115,265.43/x - Step 3: Cross multiply
205,911.72x = 284,162.99 × 115,265.43 - Step 4: Simplify right side
205,911.72x = 32,754,168,656.11 - Step 5: Solve for x
x = 32,754,168,656.11/205,911.72 - Step 6: Final answer
x = 159,068.99
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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.