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Finding the Fourth Proportional to 77,071, 115,606.51 and 21,667

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Solution

The fourth proportional to 77,071, 115,606.51 and 21,667 is: 32,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071 : 115,606.51 = 21,667 : x
  2. Step 2: Convert to fraction form
    77,071/115,606.51 = 21,667/x
  3. Step 3: Cross multiply
    77,071x = 115,606.51 × 21,667
  4. Step 4: Simplify right side
    77,071x = 2,504,846,143.84
  5. Step 5: Solve for x
    x = 2,504,846,143.84/77,071
  6. Step 6: Final answer
    x = 32,500.50

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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.