Finding the Fourth Proportional to 144,292,388.71, 199,118,161.80 and 78,211,468.19
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Solution
The fourth proportional to 144,292,388.71, 199,118,161.80 and 78,211,468.19 is: 107,928,934.56
Step by Step Solution
- Step 1: Write the proportion equation
144,292,388.71 : 199,118,161.80 = 78,211,468.19 : x - Step 2: Convert to fraction form
144,292,388.71/199,118,161.80 = 78,211,468.19/x - Step 3: Cross multiply
144,292,388.71x = 199,118,161.80 × 78,211,468.19 - Step 4: Simplify right side
144,292,388.71x = 15,573,323,778,169,768 - Step 5: Solve for x
x = 15,573,323,778,169,768/144,292,388.71 - Step 6: Final answer
x = 107,928,934.56
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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.