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Finding the Fourth Proportional to 139,987.21, 209,949.72 and 40,146.97

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Solution

The fourth proportional to 139,987.21, 209,949.72 and 40,146.97 is: 60,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,987.21 : 209,949.72 = 40,146.97 : x
  2. Step 2: Convert to fraction form
    139,987.21/209,949.72 = 40,146.97/x
  3. Step 3: Cross multiply
    139,987.21x = 209,949.72 × 40,146.97
  4. Step 4: Simplify right side
    139,987.21x = 8,428,845,110.35
  5. Step 5: Solve for x
    x = 8,428,845,110.35/139,987.21
  6. Step 6: Final answer
    x = 60,211.54

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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.