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Finding the Fourth Proportional to 55,667, 76,820.73 and 33,311

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Solution

The fourth proportional to 55,667, 76,820.73 and 33,311 is: 45,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,667 : 76,820.73 = 33,311 : x
  2. Step 2: Convert to fraction form
    55,667/76,820.73 = 33,311/x
  3. Step 3: Cross multiply
    55,667x = 76,820.73 × 33,311
  4. Step 4: Simplify right side
    55,667x = 2,558,975,337.03
  5. Step 5: Solve for x
    x = 2,558,975,337.03/55,667
  6. Step 6: Final answer
    x = 45,969.34

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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.