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Finding the Fourth Proportional to 77,376.67, 116,067.13 and 21,217.55

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Solution

The fourth proportional to 77,376.67, 116,067.13 and 21,217.55 is: 31,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,376.67 : 116,067.13 = 21,217.55 : x
  2. Step 2: Convert to fraction form
    77,376.67/116,067.13 = 21,217.55/x
  3. Step 3: Cross multiply
    77,376.67x = 116,067.13 × 21,217.55
  4. Step 4: Simplify right side
    77,376.67x = 2,462,659,500.75
  5. Step 5: Solve for x
    x = 2,462,659,500.75/77,376.67
  6. Step 6: Final answer
    x = 31,826.90

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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.