Finding the Fourth Proportional to 151,282.14, 208,767.64 and 83,297.70
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Solution
The fourth proportional to 151,282.14, 208,767.64 and 83,297.70 is: 114,949.88
Step by Step Solution
- Step 1: Write the proportion equation
151,282.14 : 208,767.64 = 83,297.70 : x - Step 2: Convert to fraction form
151,282.14/208,767.64 = 83,297.70/x - Step 3: Cross multiply
151,282.14x = 208,767.64 × 83,297.70 - Step 4: Simplify right side
151,282.14x = 17,389,864,246.43 - Step 5: Solve for x
x = 17,389,864,246.43/151,282.14 - Step 6: Final answer
x = 114,949.88
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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.