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Finding the Fourth Proportional to 80,717, 121,076.10 and 28,126.40

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Solution

The fourth proportional to 80,717, 121,076.10 and 28,126.40 is: 42,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,717 : 121,076.10 = 28,126.40 : x
  2. Step 2: Convert to fraction form
    80,717/121,076.10 = 28,126.40/x
  3. Step 3: Cross multiply
    80,717x = 121,076.10 × 28,126.40
  4. Step 4: Simplify right side
    80,717x = 3,405,434,819.04
  5. Step 5: Solve for x
    x = 3,405,434,819.04/80,717
  6. Step 6: Final answer
    x = 42,189.81

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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.