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Finding the Fourth Proportional to 205,735.96, 283,879.92 and 120,870.64

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Solution

The fourth proportional to 205,735.96, 283,879.92 and 120,870.64 is: 166,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,735.96 : 283,879.92 = 120,870.64 : x
  2. Step 2: Convert to fraction form
    205,735.96/283,879.92 = 120,870.64/x
  3. Step 3: Cross multiply
    205,735.96x = 283,879.92 × 120,870.64
  4. Step 4: Simplify right side
    205,735.96x = 34,312,747,613.55
  5. Step 5: Solve for x
    x = 34,312,747,613.55/205,735.96
  6. Step 6: Final answer
    x = 166,780.51

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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.