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Finding the Fourth Proportional to 77,179.20, 115,770.83 and 21,019.79

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Solution

The fourth proportional to 77,179.20, 115,770.83 and 21,019.79 is: 31,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,179.20 : 115,770.83 = 21,019.79 : x
  2. Step 2: Convert to fraction form
    77,179.20/115,770.83 = 21,019.79/x
  3. Step 3: Cross multiply
    77,179.20x = 115,770.83 × 21,019.79
  4. Step 4: Simplify right side
    77,179.20x = 2,433,477,850.77
  5. Step 5: Solve for x
    x = 2,433,477,850.77/77,179.20
  6. Step 6: Final answer
    x = 31,530.23

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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.