Finding the Fourth Proportional to 142,167.84, 213,295.56 and 102,276.96
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Solution
The fourth proportional to 142,167.84, 213,295.56 and 102,276.96 is: 153,446.95
Step by Step Solution
- Step 1: Write the proportion equation
142,167.84 : 213,295.56 = 102,276.96 : x - Step 2: Convert to fraction form
142,167.84/213,295.56 = 102,276.96/x - Step 3: Cross multiply
142,167.84x = 213,295.56 × 102,276.96 - Step 4: Simplify right side
142,167.84x = 21,815,221,458.30 - Step 5: Solve for x
x = 21,815,221,458.30/142,167.84 - Step 6: Final answer
x = 153,446.95
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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.