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Finding the Fourth Proportional to 187,096.80, 280,768.08 and 68,769.12

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Solution

The fourth proportional to 187,096.80, 280,768.08 and 68,769.12 is: 103,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,096.80 : 280,768.08 = 68,769.12 : x
  2. Step 2: Convert to fraction form
    187,096.80/280,768.08 = 68,769.12/x
  3. Step 3: Cross multiply
    187,096.80x = 280,768.08 × 68,769.12
  4. Step 4: Simplify right side
    187,096.80x = 19,308,173,785.69
  5. Step 5: Solve for x
    x = 19,308,173,785.69/187,096.80
  6. Step 6: Final answer
    x = 103,198.85

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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.