Finding the Fourth Proportional to 142,765.74, 214,159.14 and 37,584
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Solution
The fourth proportional to 142,765.74, 214,159.14 and 37,584 is: 56,378.77
Step by Step Solution
- Step 1: Write the proportion equation
142,765.74 : 214,159.14 = 37,584 : x - Step 2: Convert to fraction form
142,765.74/214,159.14 = 37,584/x - Step 3: Cross multiply
142,765.74x = 214,159.14 × 37,584 - Step 4: Simplify right side
142,765.74x = 8,048,957,117.76 - Step 5: Solve for x
x = 8,048,957,117.76/142,765.74 - Step 6: Final answer
x = 56,378.77
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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.