Finding the Fourth Proportional to 198,911,588,478.84, 298,258,420,705.48 and 97,960,463,108.91
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Solution
The fourth proportional to 198,911,588,478.84, 298,258,420,705.48 and 97,960,463,108.91 is: 146,887,032,786.17
Step by Step Solution
- Step 1: Write the proportion equation
198,911,588,478.84 : 298,258,420,705.48 = 97,960,463,108.91 : x - Step 2: Convert to fraction form
198,911,588,478.84/298,258,420,705.48 = 97,960,463,108.91/x - Step 3: Cross multiply
198,911,588,478.84x = 298,258,420,705.48 × 97,960,463,108.91 - Step 4: Simplify right side
198,911,588,478.84x = 29,217,533,018,440,929,902,592 - Step 5: Solve for x
x = 29,217,533,018,440,929,902,592/198,911,588,478.84 - Step 6: Final answer
x = 146,887,032,786.17
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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.