Finding the Fourth Proportional to 282,778.16, 424,170.14 and 83,102.09
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Solution
The fourth proportional to 282,778.16, 424,170.14 and 83,102.09 is: 124,653.98
Step by Step Solution
- Step 1: Write the proportion equation
282,778.16 : 424,170.14 = 83,102.09 : x - Step 2: Convert to fraction form
282,778.16/424,170.14 = 83,102.09/x - Step 3: Cross multiply
282,778.16x = 424,170.14 × 83,102.09 - Step 4: Simplify right side
282,778.16x = 35,249,422,613.23 - Step 5: Solve for x
x = 35,249,422,613.23/282,778.16 - Step 6: Final answer
x = 124,653.98
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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.