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Finding the Fourth Proportional to 135,178.60, 202,769.50 and 81,882.20

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Solution

The fourth proportional to 135,178.60, 202,769.50 and 81,882.20 is: 122,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,178.60 : 202,769.50 = 81,882.20 : x
  2. Step 2: Convert to fraction form
    135,178.60/202,769.50 = 81,882.20/x
  3. Step 3: Cross multiply
    135,178.60x = 202,769.50 × 81,882.20
  4. Step 4: Simplify right side
    135,178.60x = 16,603,212,752.90
  5. Step 5: Solve for x
    x = 16,603,212,752.90/135,178.60
  6. Step 6: Final answer
    x = 122,824.27

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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.