Finding the Fourth Proportional to 130,811.24, 180,537.84 and 76,381.22
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Solution
The fourth proportional to 130,811.24, 180,537.84 and 76,381.22 is: 105,416.79
Step by Step Solution
- Step 1: Write the proportion equation
130,811.24 : 180,537.84 = 76,381.22 : x - Step 2: Convert to fraction form
130,811.24/180,537.84 = 76,381.22/x - Step 3: Cross multiply
130,811.24x = 180,537.84 × 76,381.22 - Step 4: Simplify right side
130,811.24x = 13,789,700,475.36 - Step 5: Solve for x
x = 13,789,700,475.36/130,811.24 - Step 6: Final answer
x = 105,416.79
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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.