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Finding the Fourth Proportional to 221,471.70, 332,256.15 and 109,205.70

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Solution

The fourth proportional to 221,471.70, 332,256.15 and 109,205.70 is: 163,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,471.70 : 332,256.15 = 109,205.70 : x
  2. Step 2: Convert to fraction form
    221,471.70/332,256.15 = 109,205.70/x
  3. Step 3: Cross multiply
    221,471.70x = 332,256.15 × 109,205.70
  4. Step 4: Simplify right side
    221,471.70x = 36,284,265,440.06
  5. Step 5: Solve for x
    x = 36,284,265,440.06/221,471.70
  6. Step 6: Final answer
    x = 163,832.51

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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.