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Finding the Fourth Proportional to 67,847.80, 101,820.30 and 38,234.20

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Solution

The fourth proportional to 67,847.80, 101,820.30 and 38,234.20 is: 57,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,847.80 : 101,820.30 = 38,234.20 : x
  2. Step 2: Convert to fraction form
    67,847.80/101,820.30 = 38,234.20/x
  3. Step 3: Cross multiply
    67,847.80x = 101,820.30 × 38,234.20
  4. Step 4: Simplify right side
    67,847.80x = 3,893,017,714.26
  5. Step 5: Solve for x
    x = 3,893,017,714.26/67,847.80
  6. Step 6: Final answer
    x = 57,378.69

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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.