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Finding the Fourth Proportional to 40,105.50, 55,344.79 and 22,200.50

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Solution

The fourth proportional to 40,105.50, 55,344.79 and 22,200.50 is: 30,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,105.50 : 55,344.79 = 22,200.50 : x
  2. Step 2: Convert to fraction form
    40,105.50/55,344.79 = 22,200.50/x
  3. Step 3: Cross multiply
    40,105.50x = 55,344.79 × 22,200.50
  4. Step 4: Simplify right side
    40,105.50x = 1,228,682,010.40
  5. Step 5: Solve for x
    x = 1,228,682,010.40/40,105.50
  6. Step 6: Final answer
    x = 30,636.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.