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Finding the Fourth Proportional to 123,850.80, 185,785.31 and 38,450.47

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Solution

The fourth proportional to 123,850.80, 185,785.31 and 38,450.47 is: 57,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,850.80 : 185,785.31 = 38,450.47 : x
  2. Step 2: Convert to fraction form
    123,850.80/185,785.31 = 38,450.47/x
  3. Step 3: Cross multiply
    123,850.80x = 185,785.31 × 38,450.47
  4. Step 4: Simplify right side
    123,850.80x = 7,143,532,488.60
  5. Step 5: Solve for x
    x = 7,143,532,488.60/123,850.80
  6. Step 6: Final answer
    x = 57,678.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.