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Finding the Fourth Proportional to 71,796.44, 107,686.46 and 19,209.98

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Solution

The fourth proportional to 71,796.44, 107,686.46 and 19,209.98 is: 28,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,796.44 : 107,686.46 = 19,209.98 : x
  2. Step 2: Convert to fraction form
    71,796.44/107,686.46 = 19,209.98/x
  3. Step 3: Cross multiply
    71,796.44x = 107,686.46 × 19,209.98
  4. Step 4: Simplify right side
    71,796.44x = 2,068,654,742.87
  5. Step 5: Solve for x
    x = 2,068,654,742.87/71,796.44
  6. Step 6: Final answer
    x = 28,812.78

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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.