Finding the Fourth Proportional to 189,352.84, 284,068.14 and 77,032.78
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Solution
The fourth proportional to 189,352.84, 284,068.14 and 77,032.78 is: 115,564.99
Step by Step Solution
- Step 1: Write the proportion equation
189,352.84 : 284,068.14 = 77,032.78 : x - Step 2: Convert to fraction form
189,352.84/284,068.14 = 77,032.78/x - Step 3: Cross multiply
189,352.84x = 284,068.14 × 77,032.78 - Step 4: Simplify right side
189,352.84x = 21,882,558,533.63 - Step 5: Solve for x
x = 21,882,558,533.63/189,352.84 - Step 6: Final answer
x = 115,564.99
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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.