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Finding the Fourth Proportional to 123,771, 170,804.19 and 67,182.38

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Solution

The fourth proportional to 123,771, 170,804.19 and 67,182.38 is: 92,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,771 : 170,804.19 = 67,182.38 : x
  2. Step 2: Convert to fraction form
    123,771/170,804.19 = 67,182.38/x
  3. Step 3: Cross multiply
    123,771x = 170,804.19 × 67,182.38
  4. Step 4: Simplify right side
    123,771x = 11,475,031,144.15
  5. Step 5: Solve for x
    x = 11,475,031,144.15/123,771
  6. Step 6: Final answer
    x = 92,711.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.