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Finding the Fourth Proportional to 105,986.74, 158,832.44 and 79,660.78

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Solution

The fourth proportional to 105,986.74, 158,832.44 and 79,660.78 is: 119,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,986.74 : 158,832.44 = 79,660.78 : x
  2. Step 2: Convert to fraction form
    105,986.74/158,832.44 = 79,660.78/x
  3. Step 3: Cross multiply
    105,986.74x = 158,832.44 × 79,660.78
  4. Step 4: Simplify right side
    105,986.74x = 12,652,716,059.70
  5. Step 5: Solve for x
    x = 12,652,716,059.70/105,986.74
  6. Step 6: Final answer
    x = 119,380.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.