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Finding the Fourth Proportional to 100,393, 150,558.78 and 33,815.28

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Solution

The fourth proportional to 100,393, 150,558.78 and 33,815.28 is: 50,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393 : 150,558.78 = 33,815.28 : x
  2. Step 2: Convert to fraction form
    100,393/150,558.78 = 33,815.28/x
  3. Step 3: Cross multiply
    100,393x = 150,558.78 × 33,815.28
  4. Step 4: Simplify right side
    100,393x = 5,091,187,302.16
  5. Step 5: Solve for x
    x = 5,091,187,302.16/100,393
  6. Step 6: Final answer
    x = 50,712.57

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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.