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Finding the Fourth Proportional to 80,420.25, 120,709.30 and 67,178.30

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Solution

The fourth proportional to 80,420.25, 120,709.30 and 67,178.30 is: 100,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,420.25 : 120,709.30 = 67,178.30 : x
  2. Step 2: Convert to fraction form
    80,420.25/120,709.30 = 67,178.30/x
  3. Step 3: Cross multiply
    80,420.25x = 120,709.30 × 67,178.30
  4. Step 4: Simplify right side
    80,420.25x = 8,109,045,568.19
  5. Step 5: Solve for x
    x = 8,109,045,568.19/80,420.25
  6. Step 6: Final answer
    x = 100,833.39

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1.5x scale

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.