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Finding the Fourth Proportional to 118,971.81, 178,401.22 and 69,067.31

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Solution

The fourth proportional to 118,971.81, 178,401.22 and 69,067.31 is: 103,568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971.81 : 178,401.22 = 69,067.31 : x
  2. Step 2: Convert to fraction form
    118,971.81/178,401.22 = 69,067.31/x
  3. Step 3: Cross multiply
    118,971.81x = 178,401.22 × 69,067.31
  4. Step 4: Simplify right side
    118,971.81x = 12,321,691,301.44
  5. Step 5: Solve for x
    x = 12,321,691,301.44/118,971.81
  6. Step 6: Final answer
    x = 103,568.16

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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.