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Finding the Fourth Proportional to 81,865, 122,797.50 and 32,651.56

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Solution

The fourth proportional to 81,865, 122,797.50 and 32,651.56 is: 48,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,865 : 122,797.50 = 32,651.56 : x
  2. Step 2: Convert to fraction form
    81,865/122,797.50 = 32,651.56/x
  3. Step 3: Cross multiply
    81,865x = 122,797.50 × 32,651.56
  4. Step 4: Simplify right side
    81,865x = 4,009,529,939.10
  5. Step 5: Solve for x
    x = 4,009,529,939.10/81,865
  6. Step 6: Final answer
    x = 48,977.34

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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.