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Finding the Fourth Proportional to 149,251.70, 205,956.92 and 84,722.24

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Solution

The fourth proportional to 149,251.70, 205,956.92 and 84,722.24 is: 116,910.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,251.70 : 205,956.92 = 84,722.24 : x
  2. Step 2: Convert to fraction form
    149,251.70/205,956.92 = 84,722.24/x
  3. Step 3: Cross multiply
    149,251.70x = 205,956.92 × 84,722.24
  4. Step 4: Simplify right side
    149,251.70x = 17,449,130,787.92
  5. Step 5: Solve for x
    x = 17,449,130,787.92/149,251.70
  6. Step 6: Final answer
    x = 116,910.77

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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.