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Finding the Fourth Proportional to 214,497, 321,536.34 and 102,147.21

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Solution

The fourth proportional to 214,497, 321,536.34 and 102,147.21 is: 153,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,497 : 321,536.34 = 102,147.21 : x
  2. Step 2: Convert to fraction form
    214,497/321,536.34 = 102,147.21/x
  3. Step 3: Cross multiply
    214,497x = 321,536.34 × 102,147.21
  4. Step 4: Simplify right side
    214,497x = 32,844,040,044.61
  5. Step 5: Solve for x
    x = 32,844,040,044.61/214,497
  6. Step 6: Final answer
    x = 153,121.21

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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.