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Finding the Fourth Proportional to 36,149, 49,882.74 and 20,232.68

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Solution

The fourth proportional to 36,149, 49,882.74 and 20,232.68 is: 27,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,149 : 49,882.74 = 20,232.68 : x
  2. Step 2: Convert to fraction form
    36,149/49,882.74 = 20,232.68/x
  3. Step 3: Cross multiply
    36,149x = 49,882.74 × 20,232.68
  4. Step 4: Simplify right side
    36,149x = 1,009,261,515.94
  5. Step 5: Solve for x
    x = 1,009,261,515.94/36,149
  6. Step 6: Final answer
    x = 27,919.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.