Finding the Fourth Proportional to 257,051.84, 385,634.16 and 77,129.60
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Solution
The fourth proportional to 257,051.84, 385,634.16 and 77,129.60 is: 115,711.32
Step by Step Solution
- Step 1: Write the proportion equation
257,051.84 : 385,634.16 = 77,129.60 : x - Step 2: Convert to fraction form
257,051.84/385,634.16 = 77,129.60/x - Step 3: Cross multiply
257,051.84x = 385,634.16 × 77,129.60 - Step 4: Simplify right side
257,051.84x = 29,743,808,507.14 - Step 5: Solve for x
x = 29,743,808,507.14/257,051.84 - Step 6: Final answer
x = 115,711.32
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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.