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Finding the Fourth Proportional to 71,987.64, 107,982.42 and 25,241.88

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Solution

The fourth proportional to 71,987.64, 107,982.42 and 25,241.88 is: 37,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,987.64 : 107,982.42 = 25,241.88 : x
  2. Step 2: Convert to fraction form
    71,987.64/107,982.42 = 25,241.88/x
  3. Step 3: Cross multiply
    71,987.64x = 107,982.42 × 25,241.88
  4. Step 4: Simplify right side
    71,987.64x = 2,725,679,287.75
  5. Step 5: Solve for x
    x = 2,725,679,287.75/71,987.64
  6. Step 6: Final answer
    x = 37,863.16

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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.