Finding the Fourth Proportional to 189,792.42, 284,767.70 and 83,252.90
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Solution
The fourth proportional to 189,792.42, 284,767.70 and 83,252.90 is: 124,914.02
Step by Step Solution
- Step 1: Write the proportion equation
189,792.42 : 284,767.70 = 83,252.90 : x - Step 2: Convert to fraction form
189,792.42/284,767.70 = 83,252.90/x - Step 3: Cross multiply
189,792.42x = 284,767.70 × 83,252.90 - Step 4: Simplify right side
189,792.42x = 23,707,735,011.23 - Step 5: Solve for x
x = 23,707,735,011.23/189,792.42 - Step 6: Final answer
x = 124,914.02
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.