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Finding the Fourth Proportional to 82,100, 123,150.03 and 19,770.50

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Solution

The fourth proportional to 82,100, 123,150.03 and 19,770.50 is: 29,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100 : 123,150.03 = 19,770.50 : x
  2. Step 2: Convert to fraction form
    82,100/123,150.03 = 19,770.50/x
  3. Step 3: Cross multiply
    82,100x = 123,150.03 × 19,770.50
  4. Step 4: Simplify right side
    82,100x = 2,434,737,668.12
  5. Step 5: Solve for x
    x = 2,434,737,668.12/82,100
  6. Step 6: Final answer
    x = 29,655.76

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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.