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Finding the Fourth Proportional to 71,704.83, 107,559.52 and 21,785.36

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Solution

The fourth proportional to 71,704.83, 107,559.52 and 21,785.36 is: 32,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704.83 : 107,559.52 = 21,785.36 : x
  2. Step 2: Convert to fraction form
    71,704.83/107,559.52 = 21,785.36/x
  3. Step 3: Cross multiply
    71,704.83x = 107,559.52 × 21,785.36
  4. Step 4: Simplify right side
    71,704.83x = 2,343,222,787.40
  5. Step 5: Solve for x
    x = 2,343,222,787.40/71,704.83
  6. Step 6: Final answer
    x = 32,678.73

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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.