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Finding the Fourth Proportional to 206,538.50, 284,795.46 and 142,765.58

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Solution

The fourth proportional to 206,538.50, 284,795.46 and 142,765.58 is: 196,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,538.50 : 284,795.46 = 142,765.58 : x
  2. Step 2: Convert to fraction form
    206,538.50/284,795.46 = 142,765.58/x
  3. Step 3: Cross multiply
    206,538.50x = 284,795.46 × 142,765.58
  4. Step 4: Simplify right side
    206,538.50x = 40,658,989,028.27
  5. Step 5: Solve for x
    x = 40,658,989,028.27/206,538.50
  6. Step 6: Final answer
    x = 196,859.13

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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.