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Finding the Fourth Proportional to 206,792.64, 285,301.17 and 135,214.56

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Solution

The fourth proportional to 206,792.64, 285,301.17 and 135,214.56 is: 186,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,792.64 : 285,301.17 = 135,214.56 : x
  2. Step 2: Convert to fraction form
    206,792.64/285,301.17 = 135,214.56/x
  3. Step 3: Cross multiply
    206,792.64x = 285,301.17 × 135,214.56
  4. Step 4: Simplify right side
    206,792.64x = 38,576,872,169.04
  5. Step 5: Solve for x
    x = 38,576,872,169.04/206,792.64
  6. Step 6: Final answer
    x = 186,548.57

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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.