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Finding the Fourth Proportional to 81,703.58, 122,540.79 and 21,732.41

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Solution

The fourth proportional to 81,703.58, 122,540.79 and 21,732.41 is: 32,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,703.58 : 122,540.79 = 21,732.41 : x
  2. Step 2: Convert to fraction form
    81,703.58/122,540.79 = 21,732.41/x
  3. Step 3: Cross multiply
    81,703.58x = 122,540.79 × 21,732.41
  4. Step 4: Simplify right side
    81,703.58x = 2,663,106,690.00
  5. Step 5: Solve for x
    x = 2,663,106,690.00/81,703.58
  6. Step 6: Final answer
    x = 32,594.74

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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.