Finding the Fourth Proportional to 147,780,512,613.15, 221,551,478,071.68 and 135,852,063,628.32
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Solution
The fourth proportional to 147,780,512,613.15, 221,551,478,071.68 and 135,852,063,628.32 is: 203,668,433,433.65
Step by Step Solution
- Step 1: Write the proportion equation
147,780,512,613.15 : 221,551,478,071.68 = 135,852,063,628.32 : x - Step 2: Convert to fraction form
147,780,512,613.15/221,551,478,071.68 = 135,852,063,628.32/x - Step 3: Cross multiply
147,780,512,613.15x = 221,551,478,071.68 × 135,852,063,628.32 - Step 4: Simplify right side
147,780,512,613.15x = 30,098,225,495,942,214,189,056 - Step 5: Solve for x
x = 30,098,225,495,942,214,189,056/147,780,512,613.15 - Step 6: Final answer
x = 203,668,433,433.65
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1.5x scale
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.