Finding the Fourth Proportional to 242,457.84, 363,743.96 and 76,245.84
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Solution
The fourth proportional to 242,457.84, 363,743.96 and 76,245.84 is: 114,386.75
Step by Step Solution
- Step 1: Write the proportion equation
242,457.84 : 363,743.96 = 76,245.84 : x - Step 2: Convert to fraction form
242,457.84/363,743.96 = 76,245.84/x - Step 3: Cross multiply
242,457.84x = 363,743.96 × 76,245.84 - Step 4: Simplify right side
242,457.84x = 27,733,963,775.13 - Step 5: Solve for x
x = 27,733,963,775.13/242,457.84 - Step 6: Final answer
x = 114,386.75
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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.