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Finding the Fourth Proportional to 80,420.10, 120,629.40 and 20,448.71

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Solution

The fourth proportional to 80,420.10, 120,629.40 and 20,448.71 is: 30,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,420.10 : 120,629.40 = 20,448.71 : x
  2. Step 2: Convert to fraction form
    80,420.10/120,629.40 = 20,448.71/x
  3. Step 3: Cross multiply
    80,420.10x = 120,629.40 × 20,448.71
  4. Step 4: Simplify right side
    80,420.10x = 2,466,715,014.93
  5. Step 5: Solve for x
    x = 2,466,715,014.93/80,420.10
  6. Step 6: Final answer
    x = 30,672.87

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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.