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Finding the Fourth Proportional to 206,213.28, 284,489.28 and 134,567.52

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Solution

The fourth proportional to 206,213.28, 284,489.28 and 134,567.52 is: 185,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,213.28 : 284,489.28 = 134,567.52 : x
  2. Step 2: Convert to fraction form
    206,213.28/284,489.28 = 134,567.52/x
  3. Step 3: Cross multiply
    206,213.28x = 284,489.28 × 134,567.52
  4. Step 4: Simplify right side
    206,213.28x = 38,283,016,876.19
  5. Step 5: Solve for x
    x = 38,283,016,876.19/206,213.28
  6. Step 6: Final answer
    x = 185,647.68

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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.