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Finding the Fourth Proportional to 81,649, 122,493.98 and 23,281

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Solution

The fourth proportional to 81,649, 122,493.98 and 23,281 is: 34,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,649 : 122,493.98 = 23,281 : x
  2. Step 2: Convert to fraction form
    81,649/122,493.98 = 23,281/x
  3. Step 3: Cross multiply
    81,649x = 122,493.98 × 23,281
  4. Step 4: Simplify right side
    81,649x = 2,851,782,348.38
  5. Step 5: Solve for x
    x = 2,851,782,348.38/81,649
  6. Step 6: Final answer
    x = 34,927.34

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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.