Finding the Fourth Proportional to 77,144.44, 115,782.41 and 30,430.12
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Solution
The fourth proportional to 77,144.44, 115,782.41 and 30,430.12 is: 45,671.12
Step by Step Solution
- Step 1: Write the proportion equation
77,144.44 : 115,782.41 = 30,430.12 : x - Step 2: Convert to fraction form
77,144.44/115,782.41 = 30,430.12/x - Step 3: Cross multiply
77,144.44x = 115,782.41 × 30,430.12 - Step 4: Simplify right side
77,144.44x = 3,523,272,630.19 - Step 5: Solve for x
x = 3,523,272,630.19/77,144.44 - Step 6: Final answer
x = 45,671.12
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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.