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Finding the Fourth Proportional to 81,934.68, 122,898.92 and 33,902

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Solution

The fourth proportional to 81,934.68, 122,898.92 and 33,902 is: 50,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,934.68 : 122,898.92 = 33,902 : x
  2. Step 2: Convert to fraction form
    81,934.68/122,898.92 = 33,902/x
  3. Step 3: Cross multiply
    81,934.68x = 122,898.92 × 33,902
  4. Step 4: Simplify right side
    81,934.68x = 4,166,519,185.84
  5. Step 5: Solve for x
    x = 4,166,519,185.84/81,934.68
  6. Step 6: Final answer
    x = 50,851.72

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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.