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Finding the Fourth Proportional to 230,231.20, 345,346.80 and 136,688.80

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Solution

The fourth proportional to 230,231.20, 345,346.80 and 136,688.80 is: 205,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,231.20 : 345,346.80 = 136,688.80 : x
  2. Step 2: Convert to fraction form
    230,231.20/345,346.80 = 136,688.80/x
  3. Step 3: Cross multiply
    230,231.20x = 345,346.80 × 136,688.80
  4. Step 4: Simplify right side
    230,231.20x = 47,205,039,675.84
  5. Step 5: Solve for x
    x = 47,205,039,675.84/230,231.20
  6. Step 6: Final answer
    x = 205,033.20

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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.