Finding the Fourth Proportional to 209,746.14, 289,448.19 and 114,252.54
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Solution
The fourth proportional to 209,746.14, 289,448.19 and 114,252.54 is: 157,667.70
Step by Step Solution
- Step 1: Write the proportion equation
209,746.14 : 289,448.19 = 114,252.54 : x - Step 2: Convert to fraction form
209,746.14/289,448.19 = 114,252.54/x - Step 3: Cross multiply
209,746.14x = 289,448.19 × 114,252.54 - Step 4: Simplify right side
209,746.14x = 33,070,190,905.90 - Step 5: Solve for x
x = 33,070,190,905.90/209,746.14 - Step 6: Final answer
x = 157,667.70
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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.