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Finding the Fourth Proportional to 206,004.76, 284,245.48 and 125,378.28

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Solution

The fourth proportional to 206,004.76, 284,245.48 and 125,378.28 is: 172,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,004.76 : 284,245.48 = 125,378.28 : x
  2. Step 2: Convert to fraction form
    206,004.76/284,245.48 = 125,378.28/x
  3. Step 3: Cross multiply
    206,004.76x = 284,245.48 × 125,378.28
  4. Step 4: Simplify right side
    206,004.76x = 35,638,209,380.17
  5. Step 5: Solve for x
    x = 35,638,209,380.17/206,004.76
  6. Step 6: Final answer
    x = 172,997.02

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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.