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Finding the Fourth Proportional to 67,171.83, 100,754.10 and 20,421.06

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Solution

The fourth proportional to 67,171.83, 100,754.10 and 20,421.06 is: 30,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,171.83 : 100,754.10 = 20,421.06 : x
  2. Step 2: Convert to fraction form
    67,171.83/100,754.10 = 20,421.06/x
  3. Step 3: Cross multiply
    67,171.83x = 100,754.10 × 20,421.06
  4. Step 4: Simplify right side
    67,171.83x = 2,057,505,521.35
  5. Step 5: Solve for x
    x = 2,057,505,521.35/67,171.83
  6. Step 6: Final answer
    x = 30,630.48

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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.