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Finding the Fourth Proportional to 81,903.54, 122,855.30 and 22,739.72

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Solution

The fourth proportional to 81,903.54, 122,855.30 and 22,739.72 is: 34,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903.54 : 122,855.30 = 22,739.72 : x
  2. Step 2: Convert to fraction form
    81,903.54/122,855.30 = 22,739.72/x
  3. Step 3: Cross multiply
    81,903.54x = 122,855.30 × 22,739.72
  4. Step 4: Simplify right side
    81,903.54x = 2,793,695,122.52
  5. Step 5: Solve for x
    x = 2,793,695,122.52/81,903.54
  6. Step 6: Final answer
    x = 34,109.58

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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.