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Finding the Fourth Proportional to 195,300, 269,542.76 and 123,686.68

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Solution

The fourth proportional to 195,300, 269,542.76 and 123,686.68 is: 170,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,300 : 269,542.76 = 123,686.68 : x
  2. Step 2: Convert to fraction form
    195,300/269,542.76 = 123,686.68/x
  3. Step 3: Cross multiply
    195,300x = 269,542.76 × 123,686.68
  4. Step 4: Simplify right side
    195,300x = 33,338,849,102.44
  5. Step 5: Solve for x
    x = 33,338,849,102.44/195,300
  6. Step 6: Final answer
    x = 170,705.83

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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.