Finding the Fourth Proportional to 75,817.84, 113,746.20 and 29,074.36
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Solution
The fourth proportional to 75,817.84, 113,746.20 and 29,074.36 is: 43,618.99
Step by Step Solution
- Step 1: Write the proportion equation
75,817.84 : 113,746.20 = 29,074.36 : x - Step 2: Convert to fraction form
75,817.84/113,746.20 = 29,074.36/x - Step 3: Cross multiply
75,817.84x = 113,746.20 × 29,074.36 - Step 4: Simplify right side
75,817.84x = 3,307,097,967.43 - Step 5: Solve for x
x = 3,307,097,967.43/75,817.84 - Step 6: Final answer
x = 43,618.99
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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.