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Finding the Fourth Proportional to 189,682.80, 261,769.86 and 109,110.30

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Solution

The fourth proportional to 189,682.80, 261,769.86 and 109,110.30 is: 150,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,682.80 : 261,769.86 = 109,110.30 : x
  2. Step 2: Convert to fraction form
    189,682.80/261,769.86 = 109,110.30/x
  3. Step 3: Cross multiply
    189,682.80x = 261,769.86 × 109,110.30
  4. Step 4: Simplify right side
    189,682.80x = 28,561,787,955.56
  5. Step 5: Solve for x
    x = 28,561,787,955.56/189,682.80
  6. Step 6: Final answer
    x = 150,576.58

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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.