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Finding the Fourth Proportional to 100,178.70, 150,262.92 and 33,619.38

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Solution

The fourth proportional to 100,178.70, 150,262.92 and 33,619.38 is: 50,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.70 : 150,262.92 = 33,619.38 : x
  2. Step 2: Convert to fraction form
    100,178.70/150,262.92 = 33,619.38/x
  3. Step 3: Cross multiply
    100,178.70x = 150,262.92 × 33,619.38
  4. Step 4: Simplify right side
    100,178.70x = 5,051,746,207.39
  5. Step 5: Solve for x
    x = 5,051,746,207.39/100,178.70
  6. Step 6: Final answer
    x = 50,427.35

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1.5x scale

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.