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Finding the Fourth Proportional to 205,147.20, 307,720.80 and 120,820.80

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Solution

The fourth proportional to 205,147.20, 307,720.80 and 120,820.80 is: 181,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,147.20 : 307,720.80 = 120,820.80 : x
  2. Step 2: Convert to fraction form
    205,147.20/307,720.80 = 120,820.80/x
  3. Step 3: Cross multiply
    205,147.20x = 307,720.80 × 120,820.80
  4. Step 4: Simplify right side
    205,147.20x = 37,179,073,232.64
  5. Step 5: Solve for x
    x = 37,179,073,232.64/205,147.20
  6. Step 6: Final answer
    x = 181,231.20

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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.