Finding the Fourth Proportional to 77,546,267.87, 107,012,461.30 and 42,264,390.74
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Solution
The fourth proportional to 77,546,267.87, 107,012,461.30 and 42,264,390.74 is: 58,324,102.53
Step by Step Solution
- Step 1: Write the proportion equation
77,546,267.87 : 107,012,461.30 = 42,264,390.74 : x - Step 2: Convert to fraction form
77,546,267.87/107,012,461.30 = 42,264,390.74/x - Step 3: Cross multiply
77,546,267.87x = 107,012,461.30 × 42,264,390.74 - Step 4: Simplify right side
77,546,267.87x = 4,522,816,477,791,605 - Step 5: Solve for x
x = 4,522,816,477,791,605/77,546,267.87 - Step 6: Final answer
x = 58,324,102.53
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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.