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Finding the Fourth Proportional to 80,473.22, 111,002.52 and 51,830

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Solution

The fourth proportional to 80,473.22, 111,002.52 and 51,830 is: 71,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,473.22 : 111,002.52 = 51,830 : x
  2. Step 2: Convert to fraction form
    80,473.22/111,002.52 = 51,830/x
  3. Step 3: Cross multiply
    80,473.22x = 111,002.52 × 51,830
  4. Step 4: Simplify right side
    80,473.22x = 5,753,260,611.60
  5. Step 5: Solve for x
    x = 5,753,260,611.60/80,473.22
  6. Step 6: Final answer
    x = 71,492.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.