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Finding the Fourth Proportional to 77,163, 115,744.38 and 50,676.21

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Solution

The fourth proportional to 77,163, 115,744.38 and 50,676.21 is: 76,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,163 : 115,744.38 = 50,676.21 : x
  2. Step 2: Convert to fraction form
    77,163/115,744.38 = 50,676.21/x
  3. Step 3: Cross multiply
    77,163x = 115,744.38 × 50,676.21
  4. Step 4: Simplify right side
    77,163x = 5,865,486,507.20
  5. Step 5: Solve for x
    x = 5,865,486,507.20/77,163
  6. Step 6: Final answer
    x = 76,014.24

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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.