Finding the Fourth Proportional to 105,461.24, 145,536.12 and 57,063.02
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Solution
The fourth proportional to 105,461.24, 145,536.12 and 57,063.02 is: 78,746.75
Step by Step Solution
- Step 1: Write the proportion equation
105,461.24 : 145,536.12 = 57,063.02 : x - Step 2: Convert to fraction form
105,461.24/145,536.12 = 57,063.02/x - Step 3: Cross multiply
105,461.24x = 145,536.12 × 57,063.02 - Step 4: Simplify right side
105,461.24x = 8,304,729,798.60 - Step 5: Solve for x
x = 8,304,729,798.60/105,461.24 - Step 6: Final answer
x = 78,746.75
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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.