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Finding the Fourth Proportional to 203,506.14, 280,855.29 and 112,891.33

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Solution

The fourth proportional to 203,506.14, 280,855.29 and 112,891.33 is: 155,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506.14 : 280,855.29 = 112,891.33 : x
  2. Step 2: Convert to fraction form
    203,506.14/280,855.29 = 112,891.33/x
  3. Step 3: Cross multiply
    203,506.14x = 280,855.29 × 112,891.33
  4. Step 4: Simplify right side
    203,506.14x = 31,706,128,000.05
  5. Step 5: Solve for x
    x = 31,706,128,000.05/203,506.14
  6. Step 6: Final answer
    x = 155,799.37

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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.