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Finding the Fourth Proportional to 203,451, 305,193.11 and 102,196.97

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Solution

The fourth proportional to 203,451, 305,193.11 and 102,196.97 is: 153,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,451 : 305,193.11 = 102,196.97 : x
  2. Step 2: Convert to fraction form
    203,451/305,193.11 = 102,196.97/x
  3. Step 3: Cross multiply
    203,451x = 305,193.11 × 102,196.97
  4. Step 4: Simplify right side
    203,451x = 31,189,809,069.93
  5. Step 5: Solve for x
    x = 31,189,809,069.93/203,451
  6. Step 6: Final answer
    x = 153,303.79

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1.5x scale

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.