Finding the Fourth Proportional to 257,742.14, 386,668.76 and 77,812.65
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Solution
The fourth proportional to 257,742.14, 386,668.76 and 77,812.65 is: 116,735.75
Step by Step Solution
- Step 1: Write the proportion equation
257,742.14 : 386,668.76 = 77,812.65 : x - Step 2: Convert to fraction form
257,742.14/386,668.76 = 77,812.65/x - Step 3: Cross multiply
257,742.14x = 386,668.76 × 77,812.65 - Step 4: Simplify right side
257,742.14x = 30,087,720,498.75 - Step 5: Solve for x
x = 30,087,720,498.75/257,742.14 - Step 6: Final answer
x = 116,735.75
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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.