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Finding the Fourth Proportional to 71,170.32, 106,757.40 and 18,578.64

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Solution

The fourth proportional to 71,170.32, 106,757.40 and 18,578.64 is: 27,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,170.32 : 106,757.40 = 18,578.64 : x
  2. Step 2: Convert to fraction form
    71,170.32/106,757.40 = 18,578.64/x
  3. Step 3: Cross multiply
    71,170.32x = 106,757.40 × 18,578.64
  4. Step 4: Simplify right side
    71,170.32x = 1,983,407,301.94
  5. Step 5: Solve for x
    x = 1,983,407,301.94/71,170.32
  6. Step 6: Final answer
    x = 27,868.46

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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.