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Finding the Fourth Proportional to 138,485.67, 207,763.56 and 38,645.85

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Solution

The fourth proportional to 138,485.67, 207,763.56 and 38,645.85 is: 57,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,485.67 : 207,763.56 = 38,645.85 : x
  2. Step 2: Convert to fraction form
    138,485.67/207,763.56 = 38,645.85/x
  3. Step 3: Cross multiply
    138,485.67x = 207,763.56 × 38,645.85
  4. Step 4: Simplify right side
    138,485.67x = 8,029,198,336.41
  5. Step 5: Solve for x
    x = 8,029,198,336.41/138,485.67
  6. Step 6: Final answer
    x = 57,978.55

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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.