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Finding the Fourth Proportional to 219,910.44, 329,871.82 and 77,735.62

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Solution

The fourth proportional to 219,910.44, 329,871.82 and 77,735.62 is: 116,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,910.44 : 329,871.82 = 77,735.62 : x
  2. Step 2: Convert to fraction form
    219,910.44/329,871.82 = 77,735.62/x
  3. Step 3: Cross multiply
    219,910.44x = 329,871.82 × 77,735.62
  4. Step 4: Simplify right side
    219,910.44x = 25,642,791,521.12
  5. Step 5: Solve for x
    x = 25,642,791,521.12/219,910.44
  6. Step 6: Final answer
    x = 116,605.61

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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.