Finding the Fourth Proportional to 97,299,578,489.95, 145,896,162,561.15 and 77,259,734,188.18
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Solution
The fourth proportional to 97,299,578,489.95, 145,896,162,561.15 and 77,259,734,188.18 is: 115,847,354,258.73
Step by Step Solution
- Step 1: Write the proportion equation
97,299,578,489.95 : 145,896,162,561.15 = 77,259,734,188.18 : x - Step 2: Convert to fraction form
97,299,578,489.95/145,896,162,561.15 = 77,259,734,188.18/x - Step 3: Cross multiply
97,299,578,489.95x = 145,896,162,561.15 × 77,259,734,188.18 - Step 4: Simplify right side
97,299,578,489.95x = 11,271,898,738,549,946,580,992 - Step 5: Solve for x
x = 11,271,898,738,549,946,580,992/97,299,578,489.95 - Step 6: Final answer
x = 115,847,354,258.73
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.