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Finding the Fourth Proportional to 80,478.83, 120,720.76 and 38,363.49

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Solution

The fourth proportional to 80,478.83, 120,720.76 and 38,363.49 is: 57,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478.83 : 120,720.76 = 38,363.49 : x
  2. Step 2: Convert to fraction form
    80,478.83/120,720.76 = 38,363.49/x
  3. Step 3: Cross multiply
    80,478.83x = 120,720.76 × 38,363.49
  4. Step 4: Simplify right side
    80,478.83x = 4,631,269,573.14
  5. Step 5: Solve for x
    x = 4,631,269,573.14/80,478.83
  6. Step 6: Final answer
    x = 57,546.43

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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.