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Finding the Fourth Proportional to 126,574.34, 189,872.40 and 33,080

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Solution

The fourth proportional to 126,574.34, 189,872.40 and 33,080 is: 49,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,574.34 : 189,872.40 = 33,080 : x
  2. Step 2: Convert to fraction form
    126,574.34/189,872.40 = 33,080/x
  3. Step 3: Cross multiply
    126,574.34x = 189,872.40 × 33,080
  4. Step 4: Simplify right side
    126,574.34x = 6,280,978,992
  5. Step 5: Solve for x
    x = 6,280,978,992/126,574.34
  6. Step 6: Final answer
    x = 49,622.85

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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.