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Finding the Fourth Proportional to 230,517.20, 345,775.80 and 136,974.80

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Solution

The fourth proportional to 230,517.20, 345,775.80 and 136,974.80 is: 205,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,517.20 : 345,775.80 = 136,974.80 : x
  2. Step 2: Convert to fraction form
    230,517.20/345,775.80 = 136,974.80/x
  3. Step 3: Cross multiply
    230,517.20x = 345,775.80 × 136,974.80
  4. Step 4: Simplify right side
    230,517.20x = 47,362,571,049.84
  5. Step 5: Solve for x
    x = 47,362,571,049.84/230,517.20
  6. Step 6: Final answer
    x = 205,462.20

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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.