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Finding the Fourth Proportional to 206,199.92, 285,128.52 and 163,684.72

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Solution

The fourth proportional to 206,199.92, 285,128.52 and 163,684.72 is: 226,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,199.92 : 285,128.52 = 163,684.72 : x
  2. Step 2: Convert to fraction form
    206,199.92/285,128.52 = 163,684.72/x
  3. Step 3: Cross multiply
    206,199.92x = 285,128.52 × 163,684.72
  4. Step 4: Simplify right side
    206,199.92x = 46,671,181,960.21
  5. Step 5: Solve for x
    x = 46,671,181,960.21/206,199.92
  6. Step 6: Final answer
    x = 226,339.48

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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.