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Finding the Fourth Proportional to 81,777.76, 122,642.93 and 31,846.73

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Solution

The fourth proportional to 81,777.76, 122,642.93 and 31,846.73 is: 47,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777.76 : 122,642.93 = 31,846.73 : x
  2. Step 2: Convert to fraction form
    81,777.76/122,642.93 = 31,846.73/x
  3. Step 3: Cross multiply
    81,777.76x = 122,642.93 × 31,846.73
  4. Step 4: Simplify right side
    81,777.76x = 3,905,775,744.52
  5. Step 5: Solve for x
    x = 3,905,775,744.52/81,777.76
  6. Step 6: Final answer
    x = 47,760.86

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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.