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Finding the Fourth Proportional to 280,811.80, 421,217.70 and 81,138.70

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Solution

The fourth proportional to 280,811.80, 421,217.70 and 81,138.70 is: 121,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,811.80 : 421,217.70 = 81,138.70 : x
  2. Step 2: Convert to fraction form
    280,811.80/421,217.70 = 81,138.70/x
  3. Step 3: Cross multiply
    280,811.80x = 421,217.70 × 81,138.70
  4. Step 4: Simplify right side
    280,811.80x = 34,177,056,594.99
  5. Step 5: Solve for x
    x = 34,177,056,594.99/280,811.80
  6. Step 6: Final answer
    x = 121,708.05

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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.