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Finding the Fourth Proportional to 214,472.25, 321,730.25 and 74,230.47

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Solution

The fourth proportional to 214,472.25, 321,730.25 and 74,230.47 is: 111,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,472.25 : 321,730.25 = 74,230.47 : x
  2. Step 2: Convert to fraction form
    214,472.25/321,730.25 = 74,230.47/x
  3. Step 3: Cross multiply
    214,472.25x = 321,730.25 × 74,230.47
  4. Step 4: Simplify right side
    214,472.25x = 23,882,187,299.57
  5. Step 5: Solve for x
    x = 23,882,187,299.57/214,472.25
  6. Step 6: Final answer
    x = 111,353.27

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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.