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Finding the Fourth Proportional to 203,525.44, 305,225.97 and 140,749

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Solution

The fourth proportional to 203,525.44, 305,225.97 and 140,749 is: 211,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,525.44 : 305,225.97 = 140,749 : x
  2. Step 2: Convert to fraction form
    203,525.44/305,225.97 = 140,749/x
  3. Step 3: Cross multiply
    203,525.44x = 305,225.97 × 140,749
  4. Step 4: Simplify right side
    203,525.44x = 42,960,250,051.53
  5. Step 5: Solve for x
    x = 42,960,250,051.53/203,525.44
  6. Step 6: Final answer
    x = 211,080.49

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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.