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Finding the Fourth Proportional to 81,722.52, 122,828.40 and 67,774.32

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Solution

The fourth proportional to 81,722.52, 122,828.40 and 67,774.32 is: 101,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722.52 : 122,828.40 = 67,774.32 : x
  2. Step 2: Convert to fraction form
    81,722.52/122,828.40 = 67,774.32/x
  3. Step 3: Cross multiply
    81,722.52x = 122,828.40 × 67,774.32
  4. Step 4: Simplify right side
    81,722.52x = 8,324,611,286.69
  5. Step 5: Solve for x
    x = 8,324,611,286.69/81,722.52
  6. Step 6: Final answer
    x = 101,864.35

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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.