Finding the Fourth Proportional to 209,541,106.14, 289,173,282.75 and 120,249,385.76
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Solution
The fourth proportional to 209,541,106.14, 289,173,282.75 and 120,249,385.76 is: 165,947,914.79
Step by Step Solution
- Step 1: Write the proportion equation
209,541,106.14 : 289,173,282.75 = 120,249,385.76 : x - Step 2: Convert to fraction form
209,541,106.14/289,173,282.75 = 120,249,385.76/x - Step 3: Cross multiply
209,541,106.14x = 289,173,282.75 × 120,249,385.76 - Step 4: Simplify right side
209,541,106.14x = 34,772,909,627,444,436 - Step 5: Solve for x
x = 34,772,909,627,444,436/209,541,106.14 - Step 6: Final answer
x = 165,947,914.79
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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.