Finding the Fourth Proportional to 142,970,805.12, 197,300,568.64 and 77,781,175.68
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Solution
The fourth proportional to 142,970,805.12, 197,300,568.64 and 77,781,175.68 is: 107,338,488.99
Step by Step Solution
- Step 1: Write the proportion equation
142,970,805.12 : 197,300,568.64 = 77,781,175.68 : x - Step 2: Convert to fraction form
142,970,805.12/197,300,568.64 = 77,781,175.68/x - Step 3: Cross multiply
142,970,805.12x = 197,300,568.64 × 77,781,175.68 - Step 4: Simplify right side
142,970,805.12x = 15,346,270,191,151,738 - Step 5: Solve for x
x = 15,346,270,191,151,738/142,970,805.12 - Step 6: Final answer
x = 107,338,488.99
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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.