Finding the Fourth Proportional to 83,005.16, 114,584.22 and 56,228.99
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Solution
The fourth proportional to 83,005.16, 114,584.22 and 56,228.99 is: 77,621.14
Step by Step Solution
- Step 1: Write the proportion equation
83,005.16 : 114,584.22 = 56,228.99 : x - Step 2: Convert to fraction form
83,005.16/114,584.22 = 56,228.99/x - Step 3: Cross multiply
83,005.16x = 114,584.22 × 56,228.99 - Step 4: Simplify right side
83,005.16x = 6,442,954,387.62 - Step 5: Solve for x
x = 6,442,954,387.62/83,005.16 - Step 6: Final answer
x = 77,621.14
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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.