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Finding the Fourth Proportional to 205,012.80, 307,519.20 and 163,540.80

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Solution

The fourth proportional to 205,012.80, 307,519.20 and 163,540.80 is: 245,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,012.80 : 307,519.20 = 163,540.80 : x
  2. Step 2: Convert to fraction form
    205,012.80/307,519.20 = 163,540.80/x
  3. Step 3: Cross multiply
    205,012.80x = 307,519.20 × 163,540.80
  4. Step 4: Simplify right side
    205,012.80x = 50,291,935,983.36
  5. Step 5: Solve for x
    x = 50,291,935,983.36/205,012.80
  6. Step 6: Final answer
    x = 245,311.20

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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.