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Finding the Fourth Proportional to 203,477.58, 305,230.14 and 75,405.78

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Solution

The fourth proportional to 203,477.58, 305,230.14 and 75,405.78 is: 113,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,477.58 : 305,230.14 = 75,405.78 : x
  2. Step 2: Convert to fraction form
    203,477.58/305,230.14 = 75,405.78/x
  3. Step 3: Cross multiply
    203,477.58x = 305,230.14 × 75,405.78
  4. Step 4: Simplify right side
    203,477.58x = 23,016,116,786.21
  5. Step 5: Solve for x
    x = 23,016,116,786.21/203,477.58
  6. Step 6: Final answer
    x = 113,113.77

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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.