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Finding the Fourth Proportional to 71,785.69, 107,693.92 and 21,869.81

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Solution

The fourth proportional to 71,785.69, 107,693.92 and 21,869.81 is: 32,809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.69 : 107,693.92 = 21,869.81 : x
  2. Step 2: Convert to fraction form
    71,785.69/107,693.92 = 21,869.81/x
  3. Step 3: Cross multiply
    71,785.69x = 107,693.92 × 21,869.81
  4. Step 4: Simplify right side
    71,785.69x = 2,355,245,568.56
  5. Step 5: Solve for x
    x = 2,355,245,568.56/71,785.69
  6. Step 6: Final answer
    x = 32,809.40

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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.