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Finding the Fourth Proportional to 123,851.80, 185,786.81 and 38,451.47

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Solution

The fourth proportional to 123,851.80, 185,786.81 and 38,451.47 is: 57,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,851.80 : 185,786.81 = 38,451.47 : x
  2. Step 2: Convert to fraction form
    123,851.80/185,786.81 = 38,451.47/x
  3. Step 3: Cross multiply
    123,851.80x = 185,786.81 × 38,451.47
  4. Step 4: Simplify right side
    123,851.80x = 7,143,775,951.11
  5. Step 5: Solve for x
    x = 7,143,775,951.11/123,851.80
  6. Step 6: Final answer
    x = 57,680.03

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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.