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Finding the Fourth Proportional to 203,401.73, 280,806.11 and 138,967.85

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Solution

The fourth proportional to 203,401.73, 280,806.11 and 138,967.85 is: 191,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,401.73 : 280,806.11 = 138,967.85 : x
  2. Step 2: Convert to fraction form
    203,401.73/280,806.11 = 138,967.85/x
  3. Step 3: Cross multiply
    203,401.73x = 280,806.11 × 138,967.85
  4. Step 4: Simplify right side
    203,401.73x = 39,023,019,274.69
  5. Step 5: Solve for x
    x = 39,023,019,274.69/203,401.73
  6. Step 6: Final answer
    x = 191,851.96

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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.