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Finding the Fourth Proportional to 123,410.24, 170,296.80 and 69,687.80

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Solution

The fourth proportional to 123,410.24, 170,296.80 and 69,687.80 is: 96,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,410.24 : 170,296.80 = 69,687.80 : x
  2. Step 2: Convert to fraction form
    123,410.24/170,296.80 = 69,687.80/x
  3. Step 3: Cross multiply
    123,410.24x = 170,296.80 × 69,687.80
  4. Step 4: Simplify right side
    123,410.24x = 11,867,609,339.04
  5. Step 5: Solve for x
    x = 11,867,609,339.04/123,410.24
  6. Step 6: Final answer
    x = 96,163.89

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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.