Finding the Fourth Proportional to 135,823.24, 203,610.12 and 47,014.62
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Solution
The fourth proportional to 135,823.24, 203,610.12 and 47,014.62 is: 70,478.75
Step by Step Solution
- Step 1: Write the proportion equation
135,823.24 : 203,610.12 = 47,014.62 : x - Step 2: Convert to fraction form
135,823.24/203,610.12 = 47,014.62/x - Step 3: Cross multiply
135,823.24x = 203,610.12 × 47,014.62 - Step 4: Simplify right side
135,823.24x = 9,572,652,419.95 - Step 5: Solve for x
x = 9,572,652,419.95/135,823.24 - Step 6: Final answer
x = 70,478.75
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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.