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Finding the Fourth Proportional to 123,049.80, 169,815.78 and 75,289.80

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Solution

The fourth proportional to 123,049.80, 169,815.78 and 75,289.80 is: 103,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,049.80 : 169,815.78 = 75,289.80 : x
  2. Step 2: Convert to fraction form
    123,049.80/169,815.78 = 75,289.80/x
  3. Step 3: Cross multiply
    123,049.80x = 169,815.78 × 75,289.80
  4. Step 4: Simplify right side
    123,049.80x = 12,785,396,113.04
  5. Step 5: Solve for x
    x = 12,785,396,113.04/123,049.80
  6. Step 6: Final answer
    x = 103,904.24

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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.