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Finding the Fourth Proportional to 71,789.53, 107,676.14 and 19,203.12

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Solution

The fourth proportional to 71,789.53, 107,676.14 and 19,203.12 is: 28,802.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,789.53 : 107,676.14 = 19,203.12 : x
  2. Step 2: Convert to fraction form
    71,789.53/107,676.14 = 19,203.12/x
  3. Step 3: Cross multiply
    71,789.53x = 107,676.14 × 19,203.12
  4. Step 4: Simplify right side
    71,789.53x = 2,067,717,438.70
  5. Step 5: Solve for x
    x = 2,067,717,438.70/71,789.53
  6. Step 6: Final answer
    x = 28,802.49

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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.