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Finding the Fourth Proportional to 206,697.31, 310,090.23 and 71,765.60

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Solution

The fourth proportional to 206,697.31, 310,090.23 and 71,765.60 is: 107,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,697.31 : 310,090.23 = 71,765.60 : x
  2. Step 2: Convert to fraction form
    206,697.31/310,090.23 = 71,765.60/x
  3. Step 3: Cross multiply
    206,697.31x = 310,090.23 × 71,765.60
  4. Step 4: Simplify right side
    206,697.31x = 22,253,809,859.64
  5. Step 5: Solve for x
    x = 22,253,809,859.64/206,697.31
  6. Step 6: Final answer
    x = 107,663.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.