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Finding the Fourth Proportional to 80,801, 121,214.63 and 23,880.68

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Solution

The fourth proportional to 80,801, 121,214.63 and 23,880.68 is: 35,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,801 : 121,214.63 = 23,880.68 : x
  2. Step 2: Convert to fraction form
    80,801/121,214.63 = 23,880.68/x
  3. Step 3: Cross multiply
    80,801x = 121,214.63 × 23,880.68
  4. Step 4: Simplify right side
    80,801x = 2,894,687,790.35
  5. Step 5: Solve for x
    x = 2,894,687,790.35/80,801
  6. Step 6: Final answer
    x = 35,824.90

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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.