Finding the Fourth Proportional to 106,796.24, 160,226.50 and 31,918.83
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Solution
The fourth proportional to 106,796.24, 160,226.50 and 31,918.83 is: 47,887.85
Step by Step Solution
- Step 1: Write the proportion equation
106,796.24 : 160,226.50 = 31,918.83 : x - Step 2: Convert to fraction form
106,796.24/160,226.50 = 31,918.83/x - Step 3: Cross multiply
106,796.24x = 160,226.50 × 31,918.83 - Step 4: Simplify right side
106,796.24x = 5,114,242,415.00 - Step 5: Solve for x
x = 5,114,242,415.00/106,796.24 - Step 6: Final answer
x = 47,887.85
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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.