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Finding the Fourth Proportional to 189,578, 261,615.46 and 109,005.84

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Solution

The fourth proportional to 189,578, 261,615.46 and 109,005.84 is: 150,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,578 : 261,615.46 = 109,005.84 : x
  2. Step 2: Convert to fraction form
    189,578/261,615.46 = 109,005.84/x
  3. Step 3: Cross multiply
    189,578x = 261,615.46 × 109,005.84
  4. Step 4: Simplify right side
    189,578x = 28,517,612,974.29
  5. Step 5: Solve for x
    x = 28,517,612,974.29/189,578
  6. Step 6: Final answer
    x = 150,426.81

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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.