Finding the Fourth Proportional to 77,176.06, 115,752.14 and 29,784.24
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Solution
The fourth proportional to 77,176.06, 115,752.14 and 29,784.24 is: 44,671.75
Step by Step Solution
- Step 1: Write the proportion equation
77,176.06 : 115,752.14 = 29,784.24 : x - Step 2: Convert to fraction form
77,176.06/115,752.14 = 29,784.24/x - Step 3: Cross multiply
77,176.06x = 115,752.14 × 29,784.24 - Step 4: Simplify right side
77,176.06x = 3,447,589,481.04 - Step 5: Solve for x
x = 3,447,589,481.04/77,176.06 - Step 6: Final answer
x = 44,671.75
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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.