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Finding the Fourth Proportional to 76,644.84, 105,745.14 and 49,809

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Solution

The fourth proportional to 76,644.84, 105,745.14 and 49,809 is: 68,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644.84 : 105,745.14 = 49,809 : x
  2. Step 2: Convert to fraction form
    76,644.84/105,745.14 = 49,809/x
  3. Step 3: Cross multiply
    76,644.84x = 105,745.14 × 49,809
  4. Step 4: Simplify right side
    76,644.84x = 5,267,059,678.26
  5. Step 5: Solve for x
    x = 5,267,059,678.26/76,644.84
  6. Step 6: Final answer
    x = 68,720.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.