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Finding the Fourth Proportional to 189,642.76, 261,696.90 and 109,057.48

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Solution

The fourth proportional to 189,642.76, 261,696.90 and 109,057.48 is: 150,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,642.76 : 261,696.90 = 109,057.48 : x
  2. Step 2: Convert to fraction form
    189,642.76/261,696.90 = 109,057.48/x
  3. Step 3: Cross multiply
    189,642.76x = 261,696.90 × 109,057.48
  4. Step 4: Simplify right side
    189,642.76x = 28,540,004,437.81
  5. Step 5: Solve for x
    x = 28,540,004,437.81/189,642.76
  6. Step 6: Final answer
    x = 150,493.51

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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.