Finding the Fourth Proportional to 77,378,212.82, 106,781,930.16 and 42,570,156.53
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Solution
The fourth proportional to 77,378,212.82, 106,781,930.16 and 42,570,156.53 is: 58,746,814.07
Step by Step Solution
- Step 1: Write the proportion equation
77,378,212.82 : 106,781,930.16 = 42,570,156.53 : x - Step 2: Convert to fraction form
77,378,212.82/106,781,930.16 = 42,570,156.53/x - Step 3: Cross multiply
77,378,212.82x = 106,781,930.16 × 42,570,156.53 - Step 4: Simplify right side
77,378,212.82x = 4,545,723,481,486,728 - Step 5: Solve for x
x = 4,545,723,481,486,728/77,378,212.82 - Step 6: Final answer
x = 58,746,814.07
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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.