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Finding the Fourth Proportional to 80,213.84, 120,320.42 and 20,242.45

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Solution

The fourth proportional to 80,213.84, 120,320.42 and 20,242.45 is: 30,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,213.84 : 120,320.42 = 20,242.45 : x
  2. Step 2: Convert to fraction form
    80,213.84/120,320.42 = 20,242.45/x
  3. Step 3: Cross multiply
    80,213.84x = 120,320.42 × 20,242.45
  4. Step 4: Simplify right side
    80,213.84x = 2,435,579,383.01
  5. Step 5: Solve for x
    x = 2,435,579,383.01/80,213.84
  6. Step 6: Final answer
    x = 30,363.58

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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.