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Finding the Fourth Proportional to 219,772.42, 303,286.11 and 119,170.42

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Solution

The fourth proportional to 219,772.42, 303,286.11 and 119,170.42 is: 164,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,772.42 : 303,286.11 = 119,170.42 : x
  2. Step 2: Convert to fraction form
    219,772.42/303,286.11 = 119,170.42/x
  3. Step 3: Cross multiply
    219,772.42x = 303,286.11 × 119,170.42
  4. Step 4: Simplify right side
    219,772.42x = 36,142,733,108.87
  5. Step 5: Solve for x
    x = 36,142,733,108.87/219,772.42
  6. Step 6: Final answer
    x = 164,455.27

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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.