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Finding the Fourth Proportional to 185,826.80, 278,765.80 and 80,642.80

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Solution

The fourth proportional to 185,826.80, 278,765.80 and 80,642.80 is: 120,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,826.80 : 278,765.80 = 80,642.80 : x
  2. Step 2: Convert to fraction form
    185,826.80/278,765.80 = 80,642.80/x
  3. Step 3: Cross multiply
    185,826.80x = 278,765.80 × 80,642.80
  4. Step 4: Simplify right side
    185,826.80x = 22,480,454,656.24
  5. Step 5: Solve for x
    x = 22,480,454,656.24/185,826.80
  6. Step 6: Final answer
    x = 120,975.31

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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.