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Finding the Fourth Proportional to 69,764.34, 104,644.16 and 30,321.46

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Solution

The fourth proportional to 69,764.34, 104,644.16 and 30,321.46 is: 45,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,764.34 : 104,644.16 = 30,321.46 : x
  2. Step 2: Convert to fraction form
    69,764.34/104,644.16 = 30,321.46/x
  3. Step 3: Cross multiply
    69,764.34x = 104,644.16 × 30,321.46
  4. Step 4: Simplify right side
    69,764.34x = 3,172,963,711.67
  5. Step 5: Solve for x
    x = 3,172,963,711.67/69,764.34
  6. Step 6: Final answer
    x = 45,481.17

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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.