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Finding the Fourth Proportional to 137,692.48, 206,101.30 and 74,422.56

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Solution

The fourth proportional to 137,692.48, 206,101.30 and 74,422.56 is: 111,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,692.48 : 206,101.30 = 74,422.56 : x
  2. Step 2: Convert to fraction form
    137,692.48/206,101.30 = 74,422.56/x
  3. Step 3: Cross multiply
    137,692.48x = 206,101.30 × 74,422.56
  4. Step 4: Simplify right side
    137,692.48x = 15,338,586,365.33
  5. Step 5: Solve for x
    x = 15,338,586,365.33/137,692.48
  6. Step 6: Final answer
    x = 111,397.42

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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.