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Finding the Fourth Proportional to 200,086.20, 299,726.10 and 124,975.80

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Solution

The fourth proportional to 200,086.20, 299,726.10 and 124,975.80 is: 187,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,086.20 : 299,726.10 = 124,975.80 : x
  2. Step 2: Convert to fraction form
    200,086.20/299,726.10 = 124,975.80/x
  3. Step 3: Cross multiply
    200,086.20x = 299,726.10 × 124,975.80
  4. Step 4: Simplify right side
    200,086.20x = 37,458,509,128.38
  5. Step 5: Solve for x
    x = 37,458,509,128.38/200,086.20
  6. Step 6: Final answer
    x = 187,211.86

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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.