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Finding the Fourth Proportional to 206,352.05, 284,644.86 and 129,749.72

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Solution

The fourth proportional to 206,352.05, 284,644.86 and 129,749.72 is: 178,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,352.05 : 284,644.86 = 129,749.72 : x
  2. Step 2: Convert to fraction form
    206,352.05/284,644.86 = 129,749.72/x
  3. Step 3: Cross multiply
    206,352.05x = 284,644.86 × 129,749.72
  4. Step 4: Simplify right side
    206,352.05x = 36,932,590,884.44
  5. Step 5: Solve for x
    x = 36,932,590,884.44/206,352.05
  6. Step 6: Final answer
    x = 178,978.55

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1.5x scale

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.