Finding the Fourth Proportional to 83,406.96, 115,078.68 and 47,584.08
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Solution
The fourth proportional to 83,406.96, 115,078.68 and 47,584.08 is: 65,652.95
Step by Step Solution
- Step 1: Write the proportion equation
83,406.96 : 115,078.68 = 47,584.08 : x - Step 2: Convert to fraction form
83,406.96/115,078.68 = 47,584.08/x - Step 3: Cross multiply
83,406.96x = 115,078.68 × 47,584.08 - Step 4: Simplify right side
83,406.96x = 5,475,913,115.41 - Step 5: Solve for x
x = 5,475,913,115.41/83,406.96 - Step 6: Final answer
x = 65,652.95
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.