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Finding the Fourth Proportional to 203,505, 280,836.90 and 112,874.84

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Solution

The fourth proportional to 203,505, 280,836.90 and 112,874.84 is: 155,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,505 : 280,836.90 = 112,874.84 : x
  2. Step 2: Convert to fraction form
    203,505/280,836.90 = 112,874.84/x
  3. Step 3: Cross multiply
    203,505x = 280,836.90 × 112,874.84
  4. Step 4: Simplify right side
    203,505x = 31,699,420,153.60
  5. Step 5: Solve for x
    x = 31,699,420,153.60/203,505
  6. Step 6: Final answer
    x = 155,767.28

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1.5x scale

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.