Finding the Fourth Proportional to 155,295,772,303.44, 214,306,070,413.24 and 86,708,241,896.80
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Solution
The fourth proportional to 155,295,772,303.44, 214,306,070,413.24 and 86,708,241,896.80 is: 119,656,203,885.80
Step by Step Solution
- Step 1: Write the proportion equation
155,295,772,303.44 : 214,306,070,413.24 = 86,708,241,896.80 : x - Step 2: Convert to fraction form
155,295,772,303.44/214,306,070,413.24 = 86,708,241,896.80/x - Step 3: Cross multiply
155,295,772,303.44x = 214,306,070,413.24 × 86,708,241,896.80 - Step 4: Simplify right side
155,295,772,303.44x = 18,582,102,593,343,867,322,368 - Step 5: Solve for x
x = 18,582,102,593,343,867,322,368/155,295,772,303.44 - Step 6: Final answer
x = 119,656,203,885.80
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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.