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Finding the Fourth Proportional to 216,453.82, 298,700.70 and 120,961.30

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Solution

The fourth proportional to 216,453.82, 298,700.70 and 120,961.30 is: 166,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,453.82 : 298,700.70 = 120,961.30 : x
  2. Step 2: Convert to fraction form
    216,453.82/298,700.70 = 120,961.30/x
  3. Step 3: Cross multiply
    216,453.82x = 298,700.70 × 120,961.30
  4. Step 4: Simplify right side
    216,453.82x = 36,131,224,982.91
  5. Step 5: Solve for x
    x = 36,131,224,982.91/216,453.82
  6. Step 6: Final answer
    x = 166,923.48

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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.