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Finding the Fourth Proportional to 219,105.52, 328,658.28 and 71,361.52

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Solution

The fourth proportional to 219,105.52, 328,658.28 and 71,361.52 is: 107,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,105.52 : 328,658.28 = 71,361.52 : x
  2. Step 2: Convert to fraction form
    219,105.52/328,658.28 = 71,361.52/x
  3. Step 3: Cross multiply
    219,105.52x = 328,658.28 × 71,361.52
  4. Step 4: Simplify right side
    219,105.52x = 23,453,554,421.39
  5. Step 5: Solve for x
    x = 23,453,554,421.39/219,105.52
  6. Step 6: Final answer
    x = 107,042.28

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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.