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Finding the Fourth Proportional to 33,090, 45,703.20 and 21,892.56

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Solution

The fourth proportional to 33,090, 45,703.20 and 21,892.56 is: 30,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090 : 45,703.20 = 21,892.56 : x
  2. Step 2: Convert to fraction form
    33,090/45,703.20 = 21,892.56/x
  3. Step 3: Cross multiply
    33,090x = 45,703.20 × 21,892.56
  4. Step 4: Simplify right side
    33,090x = 1,000,560,048.19
  5. Step 5: Solve for x
    x = 1,000,560,048.19/33,090
  6. Step 6: Final answer
    x = 30,237.54

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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.