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Finding the Fourth Proportional to 221,829.60, 332,744.40 and 74,085.60

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Solution

The fourth proportional to 221,829.60, 332,744.40 and 74,085.60 is: 111,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,829.60 : 332,744.40 = 74,085.60 : x
  2. Step 2: Convert to fraction form
    221,829.60/332,744.40 = 74,085.60/x
  3. Step 3: Cross multiply
    221,829.60x = 332,744.40 × 74,085.60
  4. Step 4: Simplify right side
    221,829.60x = 24,651,568,520.64
  5. Step 5: Solve for x
    x = 24,651,568,520.64/221,829.60
  6. Step 6: Final answer
    x = 111,128.40

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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.