Finding the Fourth Proportional to 142,165,966.47, 213,327,637.98 and 69,383,350.05
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Solution
The fourth proportional to 142,165,966.47, 213,327,637.98 and 69,383,350.05 is: 104,113,428.47
Step by Step Solution
- Step 1: Write the proportion equation
142,165,966.47 : 213,327,637.98 = 69,383,350.05 : x - Step 2: Convert to fraction form
142,165,966.47/213,327,637.98 = 69,383,350.05/x - Step 3: Cross multiply
142,165,966.47x = 213,327,637.98 × 69,383,350.05 - Step 4: Simplify right side
142,165,966.47x = 14,801,386,181,306,014 - Step 5: Solve for x
x = 14,801,386,181,306,014/142,165,966.47 - Step 6: Final answer
x = 104,113,428.47
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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.