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Finding the Fourth Proportional to 206,160, 284,500.80 and 116,753.28

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Solution

The fourth proportional to 206,160, 284,500.80 and 116,753.28 is: 161,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,160 : 284,500.80 = 116,753.28 : x
  2. Step 2: Convert to fraction form
    206,160/284,500.80 = 116,753.28/x
  3. Step 3: Cross multiply
    206,160x = 284,500.80 × 116,753.28
  4. Step 4: Simplify right side
    206,160x = 33,216,401,562.62
  5. Step 5: Solve for x
    x = 33,216,401,562.62/206,160
  6. Step 6: Final answer
    x = 161,119.53

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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.