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Finding the Fourth Proportional to 81,851.88, 122,800.50 and 34,455.54

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Solution

The fourth proportional to 81,851.88, 122,800.50 and 34,455.54 is: 51,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,851.88 : 122,800.50 = 34,455.54 : x
  2. Step 2: Convert to fraction form
    81,851.88/122,800.50 = 34,455.54/x
  3. Step 3: Cross multiply
    81,851.88x = 122,800.50 × 34,455.54
  4. Step 4: Simplify right side
    81,851.88x = 4,231,157,539.77
  5. Step 5: Solve for x
    x = 4,231,157,539.77/81,851.88
  6. Step 6: Final answer
    x = 51,692.86

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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.