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Finding the Fourth Proportional to 76,223, 114,340.98 and 20,819

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Solution

The fourth proportional to 76,223, 114,340.98 and 20,819 is: 31,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,223 : 114,340.98 = 20,819 : x
  2. Step 2: Convert to fraction form
    76,223/114,340.98 = 20,819/x
  3. Step 3: Cross multiply
    76,223x = 114,340.98 × 20,819
  4. Step 4: Simplify right side
    76,223x = 2,380,464,862.62
  5. Step 5: Solve for x
    x = 2,380,464,862.62/76,223
  6. Step 6: Final answer
    x = 31,230.27

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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.