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Finding the Fourth Proportional to 219,622.75, 303,079.41 and 119,020.75

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Solution

The fourth proportional to 219,622.75, 303,079.41 and 119,020.75 is: 164,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,622.75 : 303,079.41 = 119,020.75 : x
  2. Step 2: Convert to fraction form
    219,622.75/303,079.41 = 119,020.75/x
  3. Step 3: Cross multiply
    219,622.75x = 303,079.41 × 119,020.75
  4. Step 4: Simplify right side
    219,622.75x = 36,072,738,687.76
  5. Step 5: Solve for x
    x = 36,072,738,687.76/219,622.75
  6. Step 6: Final answer
    x = 164,248.64

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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.