Finding the Fourth Proportional to 221,160,905,830.14, 305,199,877,231.35 and 119,660,564,087.34
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Solution
The fourth proportional to 221,160,905,830.14, 305,199,877,231.35 and 119,660,564,087.34 is: 165,130,402,825.08
Step by Step Solution
- Step 1: Write the proportion equation
221,160,905,830.14 : 305,199,877,231.35 = 119,660,564,087.34 : x - Step 2: Convert to fraction form
221,160,905,830.14/305,199,877,231.35 = 119,660,564,087.34/x - Step 3: Cross multiply
221,160,905,830.14x = 305,199,877,231.35 × 119,660,564,087.34 - Step 4: Simplify right side
221,160,905,830.14x = 36,520,389,468,890,253,492,224 - Step 5: Solve for x
x = 36,520,389,468,890,253,492,224/221,160,905,830.14 - Step 6: Final answer
x = 165,130,402,825.08
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1.5x scale
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.