Finding the Fourth Proportional to 209,513,012.14, 289,101,756.71 and 121,405,408.75
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Solution
The fourth proportional to 209,513,012.14, 289,101,756.71 and 121,405,408.75 is: 167,524,282.07
Step by Step Solution
- Step 1: Write the proportion equation
209,513,012.14 : 289,101,756.71 = 121,405,408.75 : x - Step 2: Convert to fraction form
209,513,012.14/289,101,756.71 = 121,405,408.75/x - Step 3: Cross multiply
209,513,012.14x = 289,101,756.71 × 121,405,408.75 - Step 4: Simplify right side
209,513,012.14x = 35,098,516,941,668,068 - Step 5: Solve for x
x = 35,098,516,941,668,068/209,513,012.14 - Step 6: Final answer
x = 167,524,282.07
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1.5x scale
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.