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Finding the Fourth Proportional to 230,387.67, 345,529.67 and 82,643.67

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Solution

The fourth proportional to 230,387.67, 345,529.67 and 82,643.67 is: 123,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,387.67 : 345,529.67 = 82,643.67 : x
  2. Step 2: Convert to fraction form
    230,387.67/345,529.67 = 82,643.67/x
  3. Step 3: Cross multiply
    230,387.67x = 345,529.67 × 82,643.67
  4. Step 4: Simplify right side
    230,387.67x = 28,555,839,609.47
  5. Step 5: Solve for x
    x = 28,555,839,609.47/230,387.67
  6. Step 6: Final answer
    x = 123,946.91

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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.