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Finding the Fourth Proportional to 123,206.62, 183,918.67 and 108,259.90

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Solution

The fourth proportional to 123,206.62, 183,918.67 and 108,259.90 is: 161,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,206.62 : 183,918.67 = 108,259.90 : x
  2. Step 2: Convert to fraction form
    123,206.62/183,918.67 = 108,259.90/x
  3. Step 3: Cross multiply
    123,206.62x = 183,918.67 × 108,259.90
  4. Step 4: Simplify right side
    123,206.62x = 19,911,016,822.33
  5. Step 5: Solve for x
    x = 19,911,016,822.33/123,206.62
  6. Step 6: Final answer
    x = 161,606.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.