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Finding the Fourth Proportional to 203,402.56, 280,694.76 and 113,978.56

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Solution

The fourth proportional to 203,402.56, 280,694.76 and 113,978.56 is: 157,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,402.56 : 280,694.76 = 113,978.56 : x
  2. Step 2: Convert to fraction form
    203,402.56/280,694.76 = 113,978.56/x
  3. Step 3: Cross multiply
    203,402.56x = 280,694.76 × 113,978.56
  4. Step 4: Simplify right side
    203,402.56x = 31,993,184,544.35
  5. Step 5: Solve for x
    x = 31,993,184,544.35/203,402.56
  6. Step 6: Final answer
    x = 157,289.98

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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.