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Finding the Fourth Proportional to 137,772.96, 206,466.97 and 74,456.58

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Solution

The fourth proportional to 137,772.96, 206,466.97 and 74,456.58 is: 111,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,772.96 : 206,466.97 = 74,456.58 : x
  2. Step 2: Convert to fraction form
    137,772.96/206,466.97 = 74,456.58/x
  3. Step 3: Cross multiply
    137,772.96x = 206,466.97 × 74,456.58
  4. Step 4: Simplify right side
    137,772.96x = 15,372,824,469.16
  5. Step 5: Solve for x
    x = 15,372,824,469.16/137,772.96
  6. Step 6: Final answer
    x = 111,580.85

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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.