Finding the Fourth Proportional to 77,156.86, 115,744.50 and 27,226.62
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Solution
The fourth proportional to 77,156.86, 115,744.50 and 27,226.62 is: 40,843.18
Step by Step Solution
- Step 1: Write the proportion equation
77,156.86 : 115,744.50 = 27,226.62 : x - Step 2: Convert to fraction form
77,156.86/115,744.50 = 27,226.62/x - Step 3: Cross multiply
77,156.86x = 115,744.50 × 27,226.62 - Step 4: Simplify right side
77,156.86x = 3,151,331,518.59 - Step 5: Solve for x
x = 3,151,331,518.59/77,156.86 - Step 6: Final answer
x = 40,843.18
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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.