Finding the Fourth Proportional to 205,070.76, 282,998.52 and 114,430.68
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Solution
The fourth proportional to 205,070.76, 282,998.52 and 114,430.68 is: 157,914.82
Step by Step Solution
- Step 1: Write the proportion equation
205,070.76 : 282,998.52 = 114,430.68 : x - Step 2: Convert to fraction form
205,070.76/282,998.52 = 114,430.68/x - Step 3: Cross multiply
205,070.76x = 282,998.52 × 114,430.68 - Step 4: Simplify right side
205,070.76x = 32,383,713,082.59 - Step 5: Solve for x
x = 32,383,713,082.59/205,070.76 - Step 6: Final answer
x = 157,914.82
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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.