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Finding the Fourth Proportional to 67,200.30, 100,800.45 and 27,785.70

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Solution

The fourth proportional to 67,200.30, 100,800.45 and 27,785.70 is: 41,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,200.30 : 100,800.45 = 27,785.70 : x
  2. Step 2: Convert to fraction form
    67,200.30/100,800.45 = 27,785.70/x
  3. Step 3: Cross multiply
    67,200.30x = 100,800.45 × 27,785.70
  4. Step 4: Simplify right side
    67,200.30x = 2,800,811,063.57
  5. Step 5: Solve for x
    x = 2,800,811,063.57/67,200.30
  6. Step 6: Final answer
    x = 41,678.55

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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.