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Finding the Fourth Proportional to 81,563.78, 122,306.11 and 47,840.82

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Solution

The fourth proportional to 81,563.78, 122,306.11 and 47,840.82 is: 71,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,563.78 : 122,306.11 = 47,840.82 : x
  2. Step 2: Convert to fraction form
    81,563.78/122,306.11 = 47,840.82/x
  3. Step 3: Cross multiply
    81,563.78x = 122,306.11 × 47,840.82
  4. Step 4: Simplify right side
    81,563.78x = 5,851,223,742.68
  5. Step 5: Solve for x
    x = 5,851,223,742.68/81,563.78
  6. Step 6: Final answer
    x = 71,738.02

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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.