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Finding the Fourth Proportional to 81,393.76, 122,076.60 and 24,466.78

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Solution

The fourth proportional to 81,393.76, 122,076.60 and 24,466.78 is: 36,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,393.76 : 122,076.60 = 24,466.78 : x
  2. Step 2: Convert to fraction form
    81,393.76/122,076.60 = 24,466.78/x
  3. Step 3: Cross multiply
    81,393.76x = 122,076.60 × 24,466.78
  4. Step 4: Simplify right side
    81,393.76x = 2,986,821,315.35
  5. Step 5: Solve for x
    x = 2,986,821,315.35/81,393.76
  6. Step 6: Final answer
    x = 36,695.95

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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.