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Finding the Fourth Proportional to 100,287.64, 150,208.70 and 71,771.48

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Solution

The fourth proportional to 100,287.64, 150,208.70 and 71,771.48 is: 107,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,287.64 : 150,208.70 = 71,771.48 : x
  2. Step 2: Convert to fraction form
    100,287.64/150,208.70 = 71,771.48/x
  3. Step 3: Cross multiply
    100,287.64x = 150,208.70 × 71,771.48
  4. Step 4: Simplify right side
    100,287.64x = 10,780,700,707.88
  5. Step 5: Solve for x
    x = 10,780,700,707.88/100,287.64
  6. Step 6: Final answer
    x = 107,497.80

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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.