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Finding the Fourth Proportional to 221,932, 332,941.76 and 72,162.64

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Solution

The fourth proportional to 221,932, 332,941.76 and 72,162.64 is: 108,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,932 : 332,941.76 = 72,162.64 : x
  2. Step 2: Convert to fraction form
    221,932/332,941.76 = 72,162.64/x
  3. Step 3: Cross multiply
    221,932x = 332,941.76 × 72,162.64
  4. Step 4: Simplify right side
    221,932x = 24,025,956,367.85
  5. Step 5: Solve for x
    x = 24,025,956,367.85/221,932
  6. Step 6: Final answer
    x = 108,258.19

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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.