Finding the Fourth Proportional to 189,637.84, 284,457.12 and 49,396.24
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Solution
The fourth proportional to 189,637.84, 284,457.12 and 49,396.24 is: 74,094.45
Step by Step Solution
- Step 1: Write the proportion equation
189,637.84 : 284,457.12 = 49,396.24 : x - Step 2: Convert to fraction form
189,637.84/284,457.12 = 49,396.24/x - Step 3: Cross multiply
189,637.84x = 284,457.12 × 49,396.24 - Step 4: Simplify right side
189,637.84x = 14,051,112,169.23 - Step 5: Solve for x
x = 14,051,112,169.23/189,637.84 - Step 6: Final answer
x = 74,094.45
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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.