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Finding the Fourth Proportional to 206,368.22, 284,667.48 and 129,766.05

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Solution

The fourth proportional to 206,368.22, 284,667.48 and 129,766.05 is: 179,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,368.22 : 284,667.48 = 129,766.05 : x
  2. Step 2: Convert to fraction form
    206,368.22/284,667.48 = 129,766.05/x
  3. Step 3: Cross multiply
    206,368.22x = 284,667.48 × 129,766.05
  4. Step 4: Simplify right side
    206,368.22x = 36,940,174,443.05
  5. Step 5: Solve for x
    x = 36,940,174,443.05/206,368.22
  6. Step 6: Final answer
    x = 179,001.27

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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.