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Finding the Fourth Proportional to 71,698.34, 107,542.38 and 21,780.20

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Solution

The fourth proportional to 71,698.34, 107,542.38 and 21,780.20 is: 32,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698.34 : 107,542.38 = 21,780.20 : x
  2. Step 2: Convert to fraction form
    71,698.34/107,542.38 = 21,780.20/x
  3. Step 3: Cross multiply
    71,698.34x = 107,542.38 × 21,780.20
  4. Step 4: Simplify right side
    71,698.34x = 2,342,294,544.88
  5. Step 5: Solve for x
    x = 2,342,294,544.88/71,698.34
  6. Step 6: Final answer
    x = 32,668.74

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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.