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Finding the Fourth Proportional to 185,877.98, 278,660.24 and 80,617.68

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Solution

The fourth proportional to 185,877.98, 278,660.24 and 80,617.68 is: 120,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,877.98 : 278,660.24 = 80,617.68 : x
  2. Step 2: Convert to fraction form
    185,877.98/278,660.24 = 80,617.68/x
  3. Step 3: Cross multiply
    185,877.98x = 278,660.24 × 80,617.68
  4. Step 4: Simplify right side
    185,877.98x = 22,464,942,057.04
  5. Step 5: Solve for x
    x = 22,464,942,057.04/185,877.98
  6. Step 6: Final answer
    x = 120,858.54

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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.