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Finding the Fourth Proportional to 206,813.12, 285,357.84 and 120,733.04

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Solution

The fourth proportional to 206,813.12, 285,357.84 and 120,733.04 is: 166,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.12 : 285,357.84 = 120,733.04 : x
  2. Step 2: Convert to fraction form
    206,813.12/285,357.84 = 120,733.04/x
  3. Step 3: Cross multiply
    206,813.12x = 285,357.84 × 120,733.04
  4. Step 4: Simplify right side
    206,813.12x = 34,452,119,511.03
  5. Step 5: Solve for x
    x = 34,452,119,511.03/206,813.12
  6. Step 6: Final answer
    x = 166,585.75

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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.