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Finding the Fourth Proportional to 123,885.71, 170,867.60 and 106,687.86

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Solution

The fourth proportional to 123,885.71, 170,867.60 and 106,687.86 is: 147,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,885.71 : 170,867.60 = 106,687.86 : x
  2. Step 2: Convert to fraction form
    123,885.71/170,867.60 = 106,687.86/x
  3. Step 3: Cross multiply
    123,885.71x = 170,867.60 × 106,687.86
  4. Step 4: Simplify right side
    123,885.71x = 18,229,498,053.90
  5. Step 5: Solve for x
    x = 18,229,498,053.90/123,885.71
  6. Step 6: Final answer
    x = 147,147.71

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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.