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Finding the Fourth Proportional to 189,472.35, 261,471.89 and 104,589.41

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Solution

The fourth proportional to 189,472.35, 261,471.89 and 104,589.41 is: 144,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,472.35 : 261,471.89 = 104,589.41 : x
  2. Step 2: Convert to fraction form
    189,472.35/261,471.89 = 104,589.41/x
  3. Step 3: Cross multiply
    189,472.35x = 261,471.89 × 104,589.41
  4. Step 4: Simplify right side
    189,472.35x = 27,347,191,621.84
  5. Step 5: Solve for x
    x = 27,347,191,621.84/189,472.35
  6. Step 6: Final answer
    x = 144,333.42

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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.