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Finding the Fourth Proportional to 215,090.90, 322,593.15 and 102,770.90

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Solution

The fourth proportional to 215,090.90, 322,593.15 and 102,770.90 is: 154,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,090.90 : 322,593.15 = 102,770.90 : x
  2. Step 2: Convert to fraction form
    215,090.90/322,593.15 = 102,770.90/x
  3. Step 3: Cross multiply
    215,090.90x = 322,593.15 × 102,770.90
  4. Step 4: Simplify right side
    215,090.90x = 33,153,188,359.34
  5. Step 5: Solve for x
    x = 33,153,188,359.34/215,090.90
  6. Step 6: Final answer
    x = 154,135.71

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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.