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Finding the Fourth Proportional to 81,855.71, 122,783.19 and 22,691.19

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Solution

The fourth proportional to 81,855.71, 122,783.19 and 22,691.19 is: 34,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.71 : 122,783.19 = 22,691.19 : x
  2. Step 2: Convert to fraction form
    81,855.71/122,783.19 = 22,691.19/x
  3. Step 3: Cross multiply
    81,855.71x = 122,783.19 × 22,691.19
  4. Step 4: Simplify right side
    81,855.71x = 2,786,096,505.42
  5. Step 5: Solve for x
    x = 2,786,096,505.42/81,855.71
  6. Step 6: Final answer
    x = 34,036.68

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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.