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Finding the Fourth Proportional to 189,672.32, 261,744 and 104,787.20

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Solution

The fourth proportional to 189,672.32, 261,744 and 104,787.20 is: 144,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,672.32 : 261,744 = 104,787.20 : x
  2. Step 2: Convert to fraction form
    189,672.32/261,744 = 104,787.20/x
  3. Step 3: Cross multiply
    189,672.32x = 261,744 × 104,787.20
  4. Step 4: Simplify right side
    189,672.32x = 27,427,420,876.80
  5. Step 5: Solve for x
    x = 27,427,420,876.80/189,672.32
  6. Step 6: Final answer
    x = 144,604.24

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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.