Finding the Fourth Proportional to 81,899.19, 122,794.52 and 31,984.02
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Solution
The fourth proportional to 81,899.19, 122,794.52 and 31,984.02 is: 47,954.84
Step by Step Solution
- Step 1: Write the proportion equation
81,899.19 : 122,794.52 = 31,984.02 : x - Step 2: Convert to fraction form
81,899.19/122,794.52 = 31,984.02/x - Step 3: Cross multiply
81,899.19x = 122,794.52 × 31,984.02 - Step 4: Simplify right side
81,899.19x = 3,927,462,223.65 - Step 5: Solve for x
x = 3,927,462,223.65/81,899.19 - Step 6: Final answer
x = 47,954.84
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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.