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Finding the Fourth Proportional to 76,638, 114,957 and 21,234

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Solution

The fourth proportional to 76,638, 114,957 and 21,234 is: 31,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638 : 114,957 = 21,234 : x
  2. Step 2: Convert to fraction form
    76,638/114,957 = 21,234/x
  3. Step 3: Cross multiply
    76,638x = 114,957 × 21,234
  4. Step 4: Simplify right side
    76,638x = 2,440,996,938
  5. Step 5: Solve for x
    x = 2,440,996,938/76,638
  6. Step 6: Final answer
    x = 31,851

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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.