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Finding the Fourth Proportional to 82,100.50, 123,150.78 and 19,771

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Solution

The fourth proportional to 82,100.50, 123,150.78 and 19,771 is: 29,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100.50 : 123,150.78 = 19,771 : x
  2. Step 2: Convert to fraction form
    82,100.50/123,150.78 = 19,771/x
  3. Step 3: Cross multiply
    82,100.50x = 123,150.78 × 19,771
  4. Step 4: Simplify right side
    82,100.50x = 2,434,814,071.38
  5. Step 5: Solve for x
    x = 2,434,814,071.38/82,100.50
  6. Step 6: Final answer
    x = 29,656.51

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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.