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Finding the Fourth Proportional to 203,651.28, 305,115.48 and 85,061.64

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Solution

The fourth proportional to 203,651.28, 305,115.48 and 85,061.64 is: 127,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,651.28 : 305,115.48 = 85,061.64 : x
  2. Step 2: Convert to fraction form
    203,651.28/305,115.48 = 85,061.64/x
  3. Step 3: Cross multiply
    203,651.28x = 305,115.48 × 85,061.64
  4. Step 4: Simplify right side
    203,651.28x = 25,953,623,118.19
  5. Step 5: Solve for x
    x = 25,953,623,118.19/203,651.28
  6. Step 6: Final answer
    x = 127,441.49

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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.