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Finding the Fourth Proportional to 87,378, 131,033.68 and 31,207.64

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Solution

The fourth proportional to 87,378, 131,033.68 and 31,207.64 is: 46,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,378 : 131,033.68 = 31,207.64 : x
  2. Step 2: Convert to fraction form
    87,378/131,033.68 = 31,207.64/x
  3. Step 3: Cross multiply
    87,378x = 131,033.68 × 31,207.64
  4. Step 4: Simplify right side
    87,378x = 4,089,251,913.32
  5. Step 5: Solve for x
    x = 4,089,251,913.32/87,378
  6. Step 6: Final answer
    x = 46,799.56

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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.