Finding the Fourth Proportional to 77,132,413.76, 106,442,439 and 42,325,686.68
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Solution
The fourth proportional to 77,132,413.76, 106,442,439 and 42,325,686.68 is: 58,409,287.39
Step by Step Solution
- Step 1: Write the proportion equation
77,132,413.76 : 106,442,439 = 42,325,686.68 : x - Step 2: Convert to fraction form
77,132,413.76/106,442,439 = 42,325,686.68/x - Step 3: Cross multiply
77,132,413.76x = 106,442,439 × 42,325,686.68 - Step 4: Simplify right side
77,132,413.76x = 4,505,249,322,569,012 - Step 5: Solve for x
x = 4,505,249,322,569,012/77,132,413.76 - Step 6: Final answer
x = 58,409,287.39
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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.