Finding the Fourth Proportional to 138,155,748.16, 190,651,131.68 and 76,274,962.24
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Solution
The fourth proportional to 138,155,748.16, 190,651,131.68 and 76,274,962.24 is: 105,257,349.50
Step by Step Solution
- Step 1: Write the proportion equation
138,155,748.16 : 190,651,131.68 = 76,274,962.24 : x - Step 2: Convert to fraction form
138,155,748.16/190,651,131.68 = 76,274,962.24/x - Step 3: Cross multiply
138,155,748.16x = 190,651,131.68 × 76,274,962.24 - Step 4: Simplify right side
138,155,748.16x = 14,541,907,869,905,268 - Step 5: Solve for x
x = 14,541,907,869,905,268/138,155,748.16 - Step 6: Final answer
x = 105,257,349.50
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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.