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Finding the Fourth Proportional to 205,615.80, 283,719.78 and 120,760.20

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Solution

The fourth proportional to 205,615.80, 283,719.78 and 120,760.20 is: 166,631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,615.80 : 283,719.78 = 120,760.20 : x
  2. Step 2: Convert to fraction form
    205,615.80/283,719.78 = 120,760.20/x
  3. Step 3: Cross multiply
    205,615.80x = 283,719.78 × 120,760.20
  4. Step 4: Simplify right side
    205,615.80x = 34,262,057,376.76
  5. Step 5: Solve for x
    x = 34,262,057,376.76/205,615.80
  6. Step 6: Final answer
    x = 166,631.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.