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Finding the Fourth Proportional to 230,305.34, 345,195.95 and 140,149.21

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Solution

The fourth proportional to 230,305.34, 345,195.95 and 140,149.21 is: 210,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,305.34 : 345,195.95 = 140,149.21 : x
  2. Step 2: Convert to fraction form
    230,305.34/345,195.95 = 140,149.21/x
  3. Step 3: Cross multiply
    230,305.34x = 345,195.95 × 140,149.21
  4. Step 4: Simplify right side
    230,305.34x = 48,378,939,687.70
  5. Step 5: Solve for x
    x = 48,378,939,687.70/230,305.34
  6. Step 6: Final answer
    x = 210,064.34

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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.