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Finding the Fourth Proportional to 123,858.19, 170,976.50 and 83,626.39

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Solution

The fourth proportional to 123,858.19, 170,976.50 and 83,626.39 is: 115,439.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,858.19 : 170,976.50 = 83,626.39 : x
  2. Step 2: Convert to fraction form
    123,858.19/170,976.50 = 83,626.39/x
  3. Step 3: Cross multiply
    123,858.19x = 170,976.50 × 83,626.39
  4. Step 4: Simplify right side
    123,858.19x = 14,298,147,469.84
  5. Step 5: Solve for x
    x = 14,298,147,469.84/123,858.19
  6. Step 6: Final answer
    x = 115,439.66

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1.5x scale

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.